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Finding the Fourth Proportional to 1,319.39, 1,979.07 and 549.89

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Solution

The fourth proportional to 1,319.39, 1,979.07 and 549.89 is: 824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.39 : 1,979.07 = 549.89 : x
  2. Step 2: Convert to fraction form
    1,319.39/1,979.07 = 549.89/x
  3. Step 3: Cross multiply
    1,319.39x = 1,979.07 × 549.89
  4. Step 4: Simplify right side
    1,319.39x = 1,088,270.80
  5. Step 5: Solve for x
    x = 1,088,270.80/1,319.39
  6. Step 6: Final answer
    x = 824.83

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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.