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Finding the Fourth Proportional to 420.57, 577.26 and 372.89

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Solution

The fourth proportional to 420.57, 577.26 and 372.89 is: 511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.57 : 577.26 = 372.89 : x
  2. Step 2: Convert to fraction form
    420.57/577.26 = 372.89/x
  3. Step 3: Cross multiply
    420.57x = 577.26 × 372.89
  4. Step 4: Simplify right side
    420.57x = 215,254.48
  5. Step 5: Solve for x
    x = 215,254.48/420.57
  6. Step 6: Final answer
    x = 511.82

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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.