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Finding the Fourth Proportional to 603.32, 831.66 and 472.10

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Solution

The fourth proportional to 603.32, 831.66 and 472.10 is: 650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.32 : 831.66 = 472.10 : x
  2. Step 2: Convert to fraction form
    603.32/831.66 = 472.10/x
  3. Step 3: Cross multiply
    603.32x = 831.66 × 472.10
  4. Step 4: Simplify right side
    603.32x = 392,622.53
  5. Step 5: Solve for x
    x = 392,622.53/603.32
  6. Step 6: Final answer
    x = 650.78

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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.