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Finding the Fourth Proportional to 831.26, 1,147.15 and 458.22

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Solution

The fourth proportional to 831.26, 1,147.15 and 458.22 is: 632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.26 : 1,147.15 = 458.22 : x
  2. Step 2: Convert to fraction form
    831.26/1,147.15 = 458.22/x
  3. Step 3: Cross multiply
    831.26x = 1,147.15 × 458.22
  4. Step 4: Simplify right side
    831.26x = 525,651.95
  5. Step 5: Solve for x
    x = 525,651.95/831.26
  6. Step 6: Final answer
    x = 632.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.