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Finding the Fourth Proportional to 410.60, 612.38 and 371.72

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Solution

The fourth proportional to 410.60, 612.38 and 371.72 is: 554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.60 : 612.38 = 371.72 : x
  2. Step 2: Convert to fraction form
    410.60/612.38 = 371.72/x
  3. Step 3: Cross multiply
    410.60x = 612.38 × 371.72
  4. Step 4: Simplify right side
    410.60x = 227,633.89
  5. Step 5: Solve for x
    x = 227,633.89/410.60
  6. Step 6: Final answer
    x = 554.39

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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.