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Finding the Fourth Proportional to 1,073.66, 1,610.80 and 415.74

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Solution

The fourth proportional to 1,073.66, 1,610.80 and 415.74 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.66 : 1,610.80 = 415.74 : x
  2. Step 2: Convert to fraction form
    1,073.66/1,610.80 = 415.74/x
  3. Step 3: Cross multiply
    1,073.66x = 1,610.80 × 415.74
  4. Step 4: Simplify right side
    1,073.66x = 669,672.95
  5. Step 5: Solve for x
    x = 669,672.95/1,073.66
  6. Step 6: Final answer
    x = 623.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.