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Finding the Fourth Proportional to 560.22, 772.40 and 418.47

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Solution

The fourth proportional to 560.22, 772.40 and 418.47 is: 576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.22 : 772.40 = 418.47 : x
  2. Step 2: Convert to fraction form
    560.22/772.40 = 418.47/x
  3. Step 3: Cross multiply
    560.22x = 772.40 × 418.47
  4. Step 4: Simplify right side
    560.22x = 323,224.14
  5. Step 5: Solve for x
    x = 323,224.14/560.22
  6. Step 6: Final answer
    x = 576.96

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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.