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Finding the Fourth Proportional to 831.15, 1,146.93 and 458.10

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Solution

The fourth proportional to 831.15, 1,146.93 and 458.10 is: 632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.15 : 1,146.93 = 458.10 : x
  2. Step 2: Convert to fraction form
    831.15/1,146.93 = 458.10/x
  3. Step 3: Cross multiply
    831.15x = 1,146.93 × 458.10
  4. Step 4: Simplify right side
    831.15x = 525,408.63
  5. Step 5: Solve for x
    x = 525,408.63/831.15
  6. Step 6: Final answer
    x = 632.15

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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.