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Finding the Fourth Proportional to 816.57, 1,126.32 and 580.48

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Solution

The fourth proportional to 816.57, 1,126.32 and 580.48 is: 800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.57 : 1,126.32 = 580.48 : x
  2. Step 2: Convert to fraction form
    816.57/1,126.32 = 580.48/x
  3. Step 3: Cross multiply
    816.57x = 1,126.32 × 580.48
  4. Step 4: Simplify right side
    816.57x = 653,806.23
  5. Step 5: Solve for x
    x = 653,806.23/816.57
  6. Step 6: Final answer
    x = 800.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.