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Finding the Fourth Proportional to 652.62, 976.02 and 579.96

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Solution

The fourth proportional to 652.62, 976.02 and 579.96 is: 867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.62 : 976.02 = 579.96 : x
  2. Step 2: Convert to fraction form
    652.62/976.02 = 579.96/x
  3. Step 3: Cross multiply
    652.62x = 976.02 × 579.96
  4. Step 4: Simplify right side
    652.62x = 566,052.56
  5. Step 5: Solve for x
    x = 566,052.56/652.62
  6. Step 6: Final answer
    x = 867.35

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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.