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Finding the Fourth Proportional to 517.66, 775.14 and 436.66

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Solution

The fourth proportional to 517.66, 775.14 and 436.66 is: 653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.66 : 775.14 = 436.66 : x
  2. Step 2: Convert to fraction form
    517.66/775.14 = 436.66/x
  3. Step 3: Cross multiply
    517.66x = 775.14 × 436.66
  4. Step 4: Simplify right side
    517.66x = 338,472.63
  5. Step 5: Solve for x
    x = 338,472.63/517.66
  6. Step 6: Final answer
    x = 653.85

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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.