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Finding the Fourth Proportional to 943.85, 1,302.51 and 524.19

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Solution

The fourth proportional to 943.85, 1,302.51 and 524.19 is: 723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.85 : 1,302.51 = 524.19 : x
  2. Step 2: Convert to fraction form
    943.85/1,302.51 = 524.19/x
  3. Step 3: Cross multiply
    943.85x = 1,302.51 × 524.19
  4. Step 4: Simplify right side
    943.85x = 682,762.72
  5. Step 5: Solve for x
    x = 682,762.72/943.85
  6. Step 6: Final answer
    x = 723.38

Related Problems

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Half scale
Find fourth proportional to 1,887.70, 2,605.02 and 1,048.38
Double scale
Find fourth proportional to 944.85, 1,303.89 and 525.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.