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Finding the Fourth Proportional to 517.52, 780.02 and 486.08

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Solution

The fourth proportional to 517.52, 780.02 and 486.08 is: 732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.52 : 780.02 = 486.08 : x
  2. Step 2: Convert to fraction form
    517.52/780.02 = 486.08/x
  3. Step 3: Cross multiply
    517.52x = 780.02 × 486.08
  4. Step 4: Simplify right side
    517.52x = 379,152.12
  5. Step 5: Solve for x
    x = 379,152.12/517.52
  6. Step 6: Final answer
    x = 732.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.