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Finding the Fourth Proportional to 577.72, 862.52 and 440.02

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Solution

The fourth proportional to 577.72, 862.52 and 440.02 is: 656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.72 : 862.52 = 440.02 : x
  2. Step 2: Convert to fraction form
    577.72/862.52 = 440.02/x
  3. Step 3: Cross multiply
    577.72x = 862.52 × 440.02
  4. Step 4: Simplify right side
    577.72x = 379,526.05
  5. Step 5: Solve for x
    x = 379,526.05/577.72
  6. Step 6: Final answer
    x = 656.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.