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Finding the Fourth Proportional to 856.82, 1,285.12 and 337.20

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Solution

The fourth proportional to 856.82, 1,285.12 and 337.20 is: 505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.82 : 1,285.12 = 337.20 : x
  2. Step 2: Convert to fraction form
    856.82/1,285.12 = 337.20/x
  3. Step 3: Cross multiply
    856.82x = 1,285.12 × 337.20
  4. Step 4: Simplify right side
    856.82x = 433,342.46
  5. Step 5: Solve for x
    x = 433,342.46/856.82
  6. Step 6: Final answer
    x = 505.76

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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.