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Finding the Fourth Proportional to 652.89, 979.53 and 583.97

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Solution

The fourth proportional to 652.89, 979.53 and 583.97 is: 876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.89 : 979.53 = 583.97 : x
  2. Step 2: Convert to fraction form
    652.89/979.53 = 583.97/x
  3. Step 3: Cross multiply
    652.89x = 979.53 × 583.97
  4. Step 4: Simplify right side
    652.89x = 572,016.13
  5. Step 5: Solve for x
    x = 572,016.13/652.89
  6. Step 6: Final answer
    x = 876.13

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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.