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Finding the Fourth Proportional to 555.29, 766.19 and 422.47

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Solution

The fourth proportional to 555.29, 766.19 and 422.47 is: 582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.29 : 766.19 = 422.47 : x
  2. Step 2: Convert to fraction form
    555.29/766.19 = 422.47/x
  3. Step 3: Cross multiply
    555.29x = 766.19 × 422.47
  4. Step 4: Simplify right side
    555.29x = 323,693.78
  5. Step 5: Solve for x
    x = 323,693.78/555.29
  6. Step 6: Final answer
    x = 582.93

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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.