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Finding the Fourth Proportional to 943.50, 1,302.63 and 723.60

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Solution

The fourth proportional to 943.50, 1,302.63 and 723.60 is: 999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.50 : 1,302.63 = 723.60 : x
  2. Step 2: Convert to fraction form
    943.50/1,302.63 = 723.60/x
  3. Step 3: Cross multiply
    943.50x = 1,302.63 × 723.60
  4. Step 4: Simplify right side
    943.50x = 942,583.07
  5. Step 5: Solve for x
    x = 942,583.07/943.50
  6. Step 6: Final answer
    x = 999.03

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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.