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Finding the Fourth Proportional to 672.14, 927.38 and 410.16

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Solution

The fourth proportional to 672.14, 927.38 and 410.16 is: 565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.14 : 927.38 = 410.16 : x
  2. Step 2: Convert to fraction form
    672.14/927.38 = 410.16/x
  3. Step 3: Cross multiply
    672.14x = 927.38 × 410.16
  4. Step 4: Simplify right side
    672.14x = 380,374.18
  5. Step 5: Solve for x
    x = 380,374.18/672.14
  6. Step 6: Final answer
    x = 565.92

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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.