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Finding the Fourth Proportional to 560.48, 772.88 and 394.43

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Solution

The fourth proportional to 560.48, 772.88 and 394.43 is: 543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.48 : 772.88 = 394.43 : x
  2. Step 2: Convert to fraction form
    560.48/772.88 = 394.43/x
  3. Step 3: Cross multiply
    560.48x = 772.88 × 394.43
  4. Step 4: Simplify right side
    560.48x = 304,841.22
  5. Step 5: Solve for x
    x = 304,841.22/560.48
  6. Step 6: Final answer
    x = 543.90

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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.