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Finding the Fourth Proportional to 831.91, 1,148.05 and 500.27

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Solution

The fourth proportional to 831.91, 1,148.05 and 500.27 is: 690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.91 : 1,148.05 = 500.27 : x
  2. Step 2: Convert to fraction form
    831.91/1,148.05 = 500.27/x
  3. Step 3: Cross multiply
    831.91x = 1,148.05 × 500.27
  4. Step 4: Simplify right side
    831.91x = 574,336.59
  5. Step 5: Solve for x
    x = 574,336.59/831.91
  6. Step 6: Final answer
    x = 690.39

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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.