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Finding the Fourth Proportional to 602.47, 831.77 and 381.61

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Solution

The fourth proportional to 602.47, 831.77 and 381.61 is: 526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.47 : 831.77 = 381.61 : x
  2. Step 2: Convert to fraction form
    602.47/831.77 = 381.61/x
  3. Step 3: Cross multiply
    602.47x = 831.77 × 381.61
  4. Step 4: Simplify right side
    602.47x = 317,411.75
  5. Step 5: Solve for x
    x = 317,411.75/602.47
  6. Step 6: Final answer
    x = 526.85

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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.