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Finding the Fourth Proportional to 560.80, 773.62 and 383.72

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Solution

The fourth proportional to 560.80, 773.62 and 383.72 is: 529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.80 : 773.62 = 383.72 : x
  2. Step 2: Convert to fraction form
    560.80/773.62 = 383.72/x
  3. Step 3: Cross multiply
    560.80x = 773.62 × 383.72
  4. Step 4: Simplify right side
    560.80x = 296,853.47
  5. Step 5: Solve for x
    x = 296,853.47/560.80
  6. Step 6: Final answer
    x = 529.34

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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.