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Finding the Fourth Proportional to 831.57, 1,147.32 and 632.35

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Solution

The fourth proportional to 831.57, 1,147.32 and 632.35 is: 872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.57 : 1,147.32 = 632.35 : x
  2. Step 2: Convert to fraction form
    831.57/1,147.32 = 632.35/x
  3. Step 3: Cross multiply
    831.57x = 1,147.32 × 632.35
  4. Step 4: Simplify right side
    831.57x = 725,508.87
  5. Step 5: Solve for x
    x = 725,508.87/831.57
  6. Step 6: Final answer
    x = 872.45

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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.