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Finding the Fourth Proportional to 561.10, 842.55 and 424.30

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Solution

The fourth proportional to 561.10, 842.55 and 424.30 is: 637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.10 : 842.55 = 424.30 : x
  2. Step 2: Convert to fraction form
    561.10/842.55 = 424.30/x
  3. Step 3: Cross multiply
    561.10x = 842.55 × 424.30
  4. Step 4: Simplify right side
    561.10x = 357,493.97
  5. Step 5: Solve for x
    x = 357,493.97/561.10
  6. Step 6: Final answer
    x = 637.13

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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.