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Finding the Fourth Proportional to 555.20, 829.24 and 478.40

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Solution

The fourth proportional to 555.20, 829.24 and 478.40 is: 714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.20 : 829.24 = 478.40 : x
  2. Step 2: Convert to fraction form
    555.20/829.24 = 478.40/x
  3. Step 3: Cross multiply
    555.20x = 829.24 × 478.40
  4. Step 4: Simplify right side
    555.20x = 396,708.42
  5. Step 5: Solve for x
    x = 396,708.42/555.20
  6. Step 6: Final answer
    x = 714.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.