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Finding the Fourth Proportional to 657.72, 984.24 and 581.16

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Solution

The fourth proportional to 657.72, 984.24 and 581.16 is: 869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.72 : 984.24 = 581.16 : x
  2. Step 2: Convert to fraction form
    657.72/984.24 = 581.16/x
  3. Step 3: Cross multiply
    657.72x = 984.24 × 581.16
  4. Step 4: Simplify right side
    657.72x = 572,000.92
  5. Step 5: Solve for x
    x = 572,000.92/657.72
  6. Step 6: Final answer
    x = 869.67

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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.