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Finding the Fourth Proportional to 632.04, 946.68 and 478.02

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Solution

The fourth proportional to 632.04, 946.68 and 478.02 is: 715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.04 : 946.68 = 478.02 : x
  2. Step 2: Convert to fraction form
    632.04/946.68 = 478.02/x
  3. Step 3: Cross multiply
    632.04x = 946.68 × 478.02
  4. Step 4: Simplify right side
    632.04x = 452,531.97
  5. Step 5: Solve for x
    x = 452,531.97/632.04
  6. Step 6: Final answer
    x = 715.99

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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.