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Finding the Fourth Proportional to 675.28, 1,008.57 and 552.16

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Solution

The fourth proportional to 675.28, 1,008.57 and 552.16 is: 824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.28 : 1,008.57 = 552.16 : x
  2. Step 2: Convert to fraction form
    675.28/1,008.57 = 552.16/x
  3. Step 3: Cross multiply
    675.28x = 1,008.57 × 552.16
  4. Step 4: Simplify right side
    675.28x = 556,892.01
  5. Step 5: Solve for x
    x = 556,892.01/675.28
  6. Step 6: Final answer
    x = 824.68

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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.