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Finding the Fourth Proportional to 831.32, 1,147.46 and 499.69

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Solution

The fourth proportional to 831.32, 1,147.46 and 499.69 is: 689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.32 : 1,147.46 = 499.69 : x
  2. Step 2: Convert to fraction form
    831.32/1,147.46 = 499.69/x
  3. Step 3: Cross multiply
    831.32x = 1,147.46 × 499.69
  4. Step 4: Simplify right side
    831.32x = 573,374.29
  5. Step 5: Solve for x
    x = 573,374.29/831.32
  6. Step 6: Final answer
    x = 689.72

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Double scale
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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.