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Finding the Fourth Proportional to 817.12, 1,128.10 and 538.17

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Solution

The fourth proportional to 817.12, 1,128.10 and 538.17 is: 742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.12 : 1,128.10 = 538.17 : x
  2. Step 2: Convert to fraction form
    817.12/1,128.10 = 538.17/x
  3. Step 3: Cross multiply
    817.12x = 1,128.10 × 538.17
  4. Step 4: Simplify right side
    817.12x = 607,101.25
  5. Step 5: Solve for x
    x = 607,101.25/817.12
  6. Step 6: Final answer
    x = 742.98

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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.