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Finding the Fourth Proportional to 979.33, 1,467.17 and 588.91

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Solution

The fourth proportional to 979.33, 1,467.17 and 588.91 is: 882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.33 : 1,467.17 = 588.91 : x
  2. Step 2: Convert to fraction form
    979.33/1,467.17 = 588.91/x
  3. Step 3: Cross multiply
    979.33x = 1,467.17 × 588.91
  4. Step 4: Simplify right side
    979.33x = 864,031.08
  5. Step 5: Solve for x
    x = 864,031.08/979.33
  6. Step 6: Final answer
    x = 882.27

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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.