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Finding the Fourth Proportional to 672.54, 928.26 and 410.70

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Solution

The fourth proportional to 672.54, 928.26 and 410.70 is: 566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.54 : 928.26 = 410.70 : x
  2. Step 2: Convert to fraction form
    672.54/928.26 = 410.70/x
  3. Step 3: Cross multiply
    672.54x = 928.26 × 410.70
  4. Step 4: Simplify right side
    672.54x = 381,236.38
  5. Step 5: Solve for x
    x = 381,236.38/672.54
  6. Step 6: Final answer
    x = 566.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.