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Finding the Fourth Proportional to 856.98, 1,287.63 and 549

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Solution

The fourth proportional to 856.98, 1,287.63 and 549 is: 824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.98 : 1,287.63 = 549 : x
  2. Step 2: Convert to fraction form
    856.98/1,287.63 = 549/x
  3. Step 3: Cross multiply
    856.98x = 1,287.63 × 549
  4. Step 4: Simplify right side
    856.98x = 706,908.87
  5. Step 5: Solve for x
    x = 706,908.87/856.98
  6. Step 6: Final answer
    x = 824.88

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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.