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Finding the Fourth Proportional to 530.87, 793.06 and 422.78

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Solution

The fourth proportional to 530.87, 793.06 and 422.78 is: 631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.87 : 793.06 = 422.78 : x
  2. Step 2: Convert to fraction form
    530.87/793.06 = 422.78/x
  3. Step 3: Cross multiply
    530.87x = 793.06 × 422.78
  4. Step 4: Simplify right side
    530.87x = 335,289.91
  5. Step 5: Solve for x
    x = 335,289.91/530.87
  6. Step 6: Final answer
    x = 631.59

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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.