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Finding the Fourth Proportional to 517.70, 777.57 and 498.67

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Solution

The fourth proportional to 517.70, 777.57 and 498.67 is: 748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 777.57 = 498.67 : x
  2. Step 2: Convert to fraction form
    517.70/777.57 = 498.67/x
  3. Step 3: Cross multiply
    517.70x = 777.57 × 498.67
  4. Step 4: Simplify right side
    517.70x = 387,747.02
  5. Step 5: Solve for x
    x = 387,747.02/517.70
  6. Step 6: Final answer
    x = 748.98

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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.