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Finding the Fourth Proportional to 632.10, 946.68 and 458.04

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Solution

The fourth proportional to 632.10, 946.68 and 458.04 is: 685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.10 : 946.68 = 458.04 : x
  2. Step 2: Convert to fraction form
    632.10/946.68 = 458.04/x
  3. Step 3: Cross multiply
    632.10x = 946.68 × 458.04
  4. Step 4: Simplify right side
    632.10x = 433,617.31
  5. Step 5: Solve for x
    x = 433,617.31/632.10
  6. Step 6: Final answer
    x = 685.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.