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Finding the Fourth Proportional to 831.56, 1,147.59 and 477.49

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Solution

The fourth proportional to 831.56, 1,147.59 and 477.49 is: 658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.56 : 1,147.59 = 477.49 : x
  2. Step 2: Convert to fraction form
    831.56/1,147.59 = 477.49/x
  3. Step 3: Cross multiply
    831.56x = 1,147.59 × 477.49
  4. Step 4: Simplify right side
    831.56x = 547,962.75
  5. Step 5: Solve for x
    x = 547,962.75/831.56
  6. Step 6: Final answer
    x = 658.96

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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.