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Finding the Fourth Proportional to 831.78, 1,147.87 and 500.14

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Solution

The fourth proportional to 831.78, 1,147.87 and 500.14 is: 690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.78 : 1,147.87 = 500.14 : x
  2. Step 2: Convert to fraction form
    831.78/1,147.87 = 500.14/x
  3. Step 3: Cross multiply
    831.78x = 1,147.87 × 500.14
  4. Step 4: Simplify right side
    831.78x = 574,101.88
  5. Step 5: Solve for x
    x = 574,101.88/831.78
  6. Step 6: Final answer
    x = 690.21

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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.