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Finding the Fourth Proportional to 672.34, 928.13 and 410.46

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Solution

The fourth proportional to 672.34, 928.13 and 410.46 is: 566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.34 : 928.13 = 410.46 : x
  2. Step 2: Convert to fraction form
    672.34/928.13 = 410.46/x
  3. Step 3: Cross multiply
    672.34x = 928.13 × 410.46
  4. Step 4: Simplify right side
    672.34x = 380,960.24
  5. Step 5: Solve for x
    x = 380,960.24/672.34
  6. Step 6: Final answer
    x = 566.62

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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.