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Finding the Fourth Proportional to 713.60, 985.38 and 452.08

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Solution

The fourth proportional to 713.60, 985.38 and 452.08 is: 624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.60 : 985.38 = 452.08 : x
  2. Step 2: Convert to fraction form
    713.60/985.38 = 452.08/x
  3. Step 3: Cross multiply
    713.60x = 985.38 × 452.08
  4. Step 4: Simplify right side
    713.60x = 445,470.59
  5. Step 5: Solve for x
    x = 445,470.59/713.60
  6. Step 6: Final answer
    x = 624.26

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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.