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Finding the Fourth Proportional to 560.45, 772.66 and 472.97

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Solution

The fourth proportional to 560.45, 772.66 and 472.97 is: 652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.45 : 772.66 = 472.97 : x
  2. Step 2: Convert to fraction form
    560.45/772.66 = 472.97/x
  3. Step 3: Cross multiply
    560.45x = 772.66 × 472.97
  4. Step 4: Simplify right side
    560.45x = 365,445.00
  5. Step 5: Solve for x
    x = 365,445.00/560.45
  6. Step 6: Final answer
    x = 652.06

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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.