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Finding the Fourth Proportional to 943.89, 1,302.51 and 524.22

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Solution

The fourth proportional to 943.89, 1,302.51 and 524.22 is: 723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.89 : 1,302.51 = 524.22 : x
  2. Step 2: Convert to fraction form
    943.89/1,302.51 = 524.22/x
  3. Step 3: Cross multiply
    943.89x = 1,302.51 × 524.22
  4. Step 4: Simplify right side
    943.89x = 682,806.20
  5. Step 5: Solve for x
    x = 682,806.20/943.89
  6. Step 6: Final answer
    x = 723.40

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Double scale
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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.