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Finding the Fourth Proportional to 515.93, 772.10 and 422.30

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Solution

The fourth proportional to 515.93, 772.10 and 422.30 is: 631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.93 : 772.10 = 422.30 : x
  2. Step 2: Convert to fraction form
    515.93/772.10 = 422.30/x
  3. Step 3: Cross multiply
    515.93x = 772.10 × 422.30
  4. Step 4: Simplify right side
    515.93x = 326,057.83
  5. Step 5: Solve for x
    x = 326,057.83/515.93
  6. Step 6: Final answer
    x = 631.98

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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.