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Finding the Fourth Proportional to 577.48, 794.08 and 560.20

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Solution

The fourth proportional to 577.48, 794.08 and 560.20 is: 770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.48 : 794.08 = 560.20 : x
  2. Step 2: Convert to fraction form
    577.48/794.08 = 560.20/x
  3. Step 3: Cross multiply
    577.48x = 794.08 × 560.20
  4. Step 4: Simplify right side
    577.48x = 444,843.62
  5. Step 5: Solve for x
    x = 444,843.62/577.48
  6. Step 6: Final answer
    x = 770.32

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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.