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Finding the Fourth Proportional to 420.44, 577.10 and 372.77

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Solution

The fourth proportional to 420.44, 577.10 and 372.77 is: 511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.44 : 577.10 = 372.77 : x
  2. Step 2: Convert to fraction form
    420.44/577.10 = 372.77/x
  3. Step 3: Cross multiply
    420.44x = 577.10 × 372.77
  4. Step 4: Simplify right side
    420.44x = 215,123.70
  5. Step 5: Solve for x
    x = 215,123.70/420.44
  6. Step 6: Final answer
    x = 511.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.