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Finding the Fourth Proportional to 581.61, 875.26 and 428.52

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Solution

The fourth proportional to 581.61, 875.26 and 428.52 is: 644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.61 : 875.26 = 428.52 : x
  2. Step 2: Convert to fraction form
    581.61/875.26 = 428.52/x
  3. Step 3: Cross multiply
    581.61x = 875.26 × 428.52
  4. Step 4: Simplify right side
    581.61x = 375,060.44
  5. Step 5: Solve for x
    x = 375,060.44/581.61
  6. Step 6: Final answer
    x = 644.87

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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.