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Finding the Fourth Proportional to 603.76, 831.12 and 456.16

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Solution

The fourth proportional to 603.76, 831.12 and 456.16 is: 627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.76 : 831.12 = 456.16 : x
  2. Step 2: Convert to fraction form
    603.76/831.12 = 456.16/x
  3. Step 3: Cross multiply
    603.76x = 831.12 × 456.16
  4. Step 4: Simplify right side
    603.76x = 379,123.70
  5. Step 5: Solve for x
    x = 379,123.70/603.76
  6. Step 6: Final answer
    x = 627.94

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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.