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Finding the Fourth Proportional to 517.26, 775.10 and 462.30

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Solution

The fourth proportional to 517.26, 775.10 and 462.30 is: 692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.26 : 775.10 = 462.30 : x
  2. Step 2: Convert to fraction form
    517.26/775.10 = 462.30/x
  3. Step 3: Cross multiply
    517.26x = 775.10 × 462.30
  4. Step 4: Simplify right side
    517.26x = 358,328.73
  5. Step 5: Solve for x
    x = 358,328.73/517.26
  6. Step 6: Final answer
    x = 692.74

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1.5x scale

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.