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Finding the Fourth Proportional to 560.87, 772.28 and 477.80

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Solution

The fourth proportional to 560.87, 772.28 and 477.80 is: 657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.87 : 772.28 = 477.80 : x
  2. Step 2: Convert to fraction form
    560.87/772.28 = 477.80/x
  3. Step 3: Cross multiply
    560.87x = 772.28 × 477.80
  4. Step 4: Simplify right side
    560.87x = 368,996.51
  5. Step 5: Solve for x
    x = 368,996.51/560.87
  6. Step 6: Final answer
    x = 657.90

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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.