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Finding the Fourth Proportional to 672.63, 928.32 and 410.79

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Solution

The fourth proportional to 672.63, 928.32 and 410.79 is: 566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.63 : 928.32 = 410.79 : x
  2. Step 2: Convert to fraction form
    672.63/928.32 = 410.79/x
  3. Step 3: Cross multiply
    672.63x = 928.32 × 410.79
  4. Step 4: Simplify right side
    672.63x = 381,344.57
  5. Step 5: Solve for x
    x = 381,344.57/672.63
  6. Step 6: Final answer
    x = 566.95

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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.