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Finding the Fourth Proportional to 524.28, 780.57 and 517.01

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Solution

The fourth proportional to 524.28, 780.57 and 517.01 is: 769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.28 : 780.57 = 517.01 : x
  2. Step 2: Convert to fraction form
    524.28/780.57 = 517.01/x
  3. Step 3: Cross multiply
    524.28x = 780.57 × 517.01
  4. Step 4: Simplify right side
    524.28x = 403,558.59
  5. Step 5: Solve for x
    x = 403,558.59/524.28
  6. Step 6: Final answer
    x = 769.74

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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.