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Finding the Fourth Proportional to 672.78, 928.77 and 424.23

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Solution

The fourth proportional to 672.78, 928.77 and 424.23 is: 585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.78 : 928.77 = 424.23 : x
  2. Step 2: Convert to fraction form
    672.78/928.77 = 424.23/x
  3. Step 3: Cross multiply
    672.78x = 928.77 × 424.23
  4. Step 4: Simplify right side
    672.78x = 394,012.10
  5. Step 5: Solve for x
    x = 394,012.10/672.78
  6. Step 6: Final answer
    x = 585.65

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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.