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Finding the Fourth Proportional to 977.65, 1,349.40 and 579.33

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Solution

The fourth proportional to 977.65, 1,349.40 and 579.33 is: 799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.65 : 1,349.40 = 579.33 : x
  2. Step 2: Convert to fraction form
    977.65/1,349.40 = 579.33/x
  3. Step 3: Cross multiply
    977.65x = 1,349.40 × 579.33
  4. Step 4: Simplify right side
    977.65x = 781,747.90
  5. Step 5: Solve for x
    x = 781,747.90/977.65
  6. Step 6: Final answer
    x = 799.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.