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Finding the Fourth Proportional to 516.75, 711.02 and 498.80

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Solution

The fourth proportional to 516.75, 711.02 and 498.80 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 711.02 = 498.80 : x
  2. Step 2: Convert to fraction form
    516.75/711.02 = 498.80/x
  3. Step 3: Cross multiply
    516.75x = 711.02 × 498.80
  4. Step 4: Simplify right side
    516.75x = 354,654.47
  5. Step 5: Solve for x
    x = 354,654.47/516.75
  6. Step 6: Final answer
    x = 686.32

Related Problems

Find fourth proportional to 258.38, 355.51 and 249.40
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.