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Finding the Fourth Proportional to 856.72, 1,284.12 and 424.18

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Solution

The fourth proportional to 856.72, 1,284.12 and 424.18 is: 635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.72 : 1,284.12 = 424.18 : x
  2. Step 2: Convert to fraction form
    856.72/1,284.12 = 424.18/x
  3. Step 3: Cross multiply
    856.72x = 1,284.12 × 424.18
  4. Step 4: Simplify right side
    856.72x = 544,698.02
  5. Step 5: Solve for x
    x = 544,698.02/856.72
  6. Step 6: Final answer
    x = 635.79

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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.