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Finding the Fourth Proportional to 831.21, 1,146.98 and 458.17

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Solution

The fourth proportional to 831.21, 1,146.98 and 458.17 is: 632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.21 : 1,146.98 = 458.17 : x
  2. Step 2: Convert to fraction form
    831.21/1,146.98 = 458.17/x
  3. Step 3: Cross multiply
    831.21x = 1,146.98 × 458.17
  4. Step 4: Simplify right side
    831.21x = 525,510.10
  5. Step 5: Solve for x
    x = 525,510.10/831.21
  6. Step 6: Final answer
    x = 632.22

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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.