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Finding the Fourth Proportional to 601.84, 831.15 and 497.28

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Solution

The fourth proportional to 601.84, 831.15 and 497.28 is: 686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.84 : 831.15 = 497.28 : x
  2. Step 2: Convert to fraction form
    601.84/831.15 = 497.28/x
  3. Step 3: Cross multiply
    601.84x = 831.15 × 497.28
  4. Step 4: Simplify right side
    601.84x = 413,314.27
  5. Step 5: Solve for x
    x = 413,314.27/601.84
  6. Step 6: Final answer
    x = 686.75

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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.