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Finding the Fourth Proportional to 577.10, 864.84 and 423.20

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Solution

The fourth proportional to 577.10, 864.84 and 423.20 is: 634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.10 : 864.84 = 423.20 : x
  2. Step 2: Convert to fraction form
    577.10/864.84 = 423.20/x
  3. Step 3: Cross multiply
    577.10x = 864.84 × 423.20
  4. Step 4: Simplify right side
    577.10x = 366,000.29
  5. Step 5: Solve for x
    x = 366,000.29/577.10
  6. Step 6: Final answer
    x = 634.21

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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.