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Finding the Fourth Proportional to 672.86, 928.11 and 584.42

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Solution

The fourth proportional to 672.86, 928.11 and 584.42 is: 806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.86 : 928.11 = 584.42 : x
  2. Step 2: Convert to fraction form
    672.86/928.11 = 584.42/x
  3. Step 3: Cross multiply
    672.86x = 928.11 × 584.42
  4. Step 4: Simplify right side
    672.86x = 542,400.31
  5. Step 5: Solve for x
    x = 542,400.31/672.86
  6. Step 6: Final answer
    x = 806.12

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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.