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Finding the Fourth Proportional to 831.25, 1,147.10 and 458.22

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Solution

The fourth proportional to 831.25, 1,147.10 and 458.22 is: 632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.25 : 1,147.10 = 458.22 : x
  2. Step 2: Convert to fraction form
    831.25/1,147.10 = 458.22/x
  3. Step 3: Cross multiply
    831.25x = 1,147.10 × 458.22
  4. Step 4: Simplify right side
    831.25x = 525,619.57
  5. Step 5: Solve for x
    x = 525,619.57/831.25
  6. Step 6: Final answer
    x = 632.33

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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.