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Finding the Fourth Proportional to 831.49, 1,147.49 and 458.49

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Solution

The fourth proportional to 831.49, 1,147.49 and 458.49 is: 632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.49 : 1,147.49 = 458.49 : x
  2. Step 2: Convert to fraction form
    831.49/1,147.49 = 458.49/x
  3. Step 3: Cross multiply
    831.49x = 1,147.49 × 458.49
  4. Step 4: Simplify right side
    831.49x = 526,112.69
  5. Step 5: Solve for x
    x = 526,112.69/831.49
  6. Step 6: Final answer
    x = 632.73

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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.