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Finding the Fourth Proportional to 817.29, 1,128.23 and 537.67

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Solution

The fourth proportional to 817.29, 1,128.23 and 537.67 is: 742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.29 : 1,128.23 = 537.67 : x
  2. Step 2: Convert to fraction form
    817.29/1,128.23 = 537.67/x
  3. Step 3: Cross multiply
    817.29x = 1,128.23 × 537.67
  4. Step 4: Simplify right side
    817.29x = 606,616.16
  5. Step 5: Solve for x
    x = 606,616.16/817.29
  6. Step 6: Final answer
    x = 742.23

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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.