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Finding the Fourth Proportional to 462.54, 634.71 and 420.77

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Solution

The fourth proportional to 462.54, 634.71 and 420.77 is: 577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.54 : 634.71 = 420.77 : x
  2. Step 2: Convert to fraction form
    462.54/634.71 = 420.77/x
  3. Step 3: Cross multiply
    462.54x = 634.71 × 420.77
  4. Step 4: Simplify right side
    462.54x = 267,070.09
  5. Step 5: Solve for x
    x = 267,070.09/462.54
  6. Step 6: Final answer
    x = 577.39

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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.