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Finding the Fourth Proportional to 765.98, 1,057.94 and 602.16

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Solution

The fourth proportional to 765.98, 1,057.94 and 602.16 is: 831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.98 : 1,057.94 = 602.16 : x
  2. Step 2: Convert to fraction form
    765.98/1,057.94 = 602.16/x
  3. Step 3: Cross multiply
    765.98x = 1,057.94 × 602.16
  4. Step 4: Simplify right side
    765.98x = 637,049.15
  5. Step 5: Solve for x
    x = 637,049.15/765.98
  6. Step 6: Final answer
    x = 831.68

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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.