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Finding the Fourth Proportional to 584.40, 877.28 and 447.24

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Solution

The fourth proportional to 584.40, 877.28 and 447.24 is: 671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.40 : 877.28 = 447.24 : x
  2. Step 2: Convert to fraction form
    584.40/877.28 = 447.24/x
  3. Step 3: Cross multiply
    584.40x = 877.28 × 447.24
  4. Step 4: Simplify right side
    584.40x = 392,354.71
  5. Step 5: Solve for x
    x = 392,354.71/584.40
  6. Step 6: Final answer
    x = 671.38

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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.