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Finding the Fourth Proportional to 856.04, 1,281.02 and 672.17

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Solution

The fourth proportional to 856.04, 1,281.02 and 672.17 is: 1,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.04 : 1,281.02 = 672.17 : x
  2. Step 2: Convert to fraction form
    856.04/1,281.02 = 672.17/x
  3. Step 3: Cross multiply
    856.04x = 1,281.02 × 672.17
  4. Step 4: Simplify right side
    856.04x = 861,053.45
  5. Step 5: Solve for x
    x = 861,053.45/856.04
  6. Step 6: Final answer
    x = 1,005.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.