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Finding the Fourth Proportional to 831.08, 1,147.14 and 665.24

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Solution

The fourth proportional to 831.08, 1,147.14 and 665.24 is: 918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.08 : 1,147.14 = 665.24 : x
  2. Step 2: Convert to fraction form
    831.08/1,147.14 = 665.24/x
  3. Step 3: Cross multiply
    831.08x = 1,147.14 × 665.24
  4. Step 4: Simplify right side
    831.08x = 763,123.41
  5. Step 5: Solve for x
    x = 763,123.41/831.08
  6. Step 6: Final answer
    x = 918.23

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Double scale
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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.