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Finding the Fourth Proportional to 672.86, 928.56 and 374.10

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Solution

The fourth proportional to 672.86, 928.56 and 374.10 is: 516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.86 : 928.56 = 374.10 : x
  2. Step 2: Convert to fraction form
    672.86/928.56 = 374.10/x
  3. Step 3: Cross multiply
    672.86x = 928.56 × 374.10
  4. Step 4: Simplify right side
    672.86x = 347,374.30
  5. Step 5: Solve for x
    x = 347,374.30/672.86
  6. Step 6: Final answer
    x = 516.27

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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.