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Finding the Fourth Proportional to 560.42, 772.74 and 498.15

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Solution

The fourth proportional to 560.42, 772.74 and 498.15 is: 686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.42 : 772.74 = 498.15 : x
  2. Step 2: Convert to fraction form
    560.42/772.74 = 498.15/x
  3. Step 3: Cross multiply
    560.42x = 772.74 × 498.15
  4. Step 4: Simplify right side
    560.42x = 384,940.43
  5. Step 5: Solve for x
    x = 384,940.43/560.42
  6. Step 6: Final answer
    x = 686.88

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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.