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Finding the Fourth Proportional to 831.69, 1,147.29 and 634.86

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Solution

The fourth proportional to 831.69, 1,147.29 and 634.86 is: 875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.69 : 1,147.29 = 634.86 : x
  2. Step 2: Convert to fraction form
    831.69/1,147.29 = 634.86/x
  3. Step 3: Cross multiply
    831.69x = 1,147.29 × 634.86
  4. Step 4: Simplify right side
    831.69x = 728,368.53
  5. Step 5: Solve for x
    x = 728,368.53/831.69
  6. Step 6: Final answer
    x = 875.77

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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.