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Finding the Fourth Proportional to 520.24, 774.48 and 517.52

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Solution

The fourth proportional to 520.24, 774.48 and 517.52 is: 770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 774.48 = 517.52 : x
  2. Step 2: Convert to fraction form
    520.24/774.48 = 517.52/x
  3. Step 3: Cross multiply
    520.24x = 774.48 × 517.52
  4. Step 4: Simplify right side
    520.24x = 400,808.89
  5. Step 5: Solve for x
    x = 400,808.89/520.24
  6. Step 6: Final answer
    x = 770.43

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1.5x scale

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.