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Finding the Fourth Proportional to 671.58, 1,004.76 and 411.66

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Solution

The fourth proportional to 671.58, 1,004.76 and 411.66 is: 615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.58 : 1,004.76 = 411.66 : x
  2. Step 2: Convert to fraction form
    671.58/1,004.76 = 411.66/x
  3. Step 3: Cross multiply
    671.58x = 1,004.76 × 411.66
  4. Step 4: Simplify right side
    671.58x = 413,619.50
  5. Step 5: Solve for x
    x = 413,619.50/671.58
  6. Step 6: Final answer
    x = 615.89

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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.