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Finding the Fourth Proportional to 659.18, 984.24 and 581.54

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Solution

The fourth proportional to 659.18, 984.24 and 581.54 is: 868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.18 : 984.24 = 581.54 : x
  2. Step 2: Convert to fraction form
    659.18/984.24 = 581.54/x
  3. Step 3: Cross multiply
    659.18x = 984.24 × 581.54
  4. Step 4: Simplify right side
    659.18x = 572,370.01
  5. Step 5: Solve for x
    x = 572,370.01/659.18
  6. Step 6: Final answer
    x = 868.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.