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Finding the Fourth Proportional to 560.27, 772.35 and 393.98

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Solution

The fourth proportional to 560.27, 772.35 and 393.98 is: 543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.27 : 772.35 = 393.98 : x
  2. Step 2: Convert to fraction form
    560.27/772.35 = 393.98/x
  3. Step 3: Cross multiply
    560.27x = 772.35 × 393.98
  4. Step 4: Simplify right side
    560.27x = 304,286.59
  5. Step 5: Solve for x
    x = 304,286.59/560.27
  6. Step 6: Final answer
    x = 543.11

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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.