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Finding the Fourth Proportional to 676.28, 1,010.06 and 553.16

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Solution

The fourth proportional to 676.28, 1,010.06 and 553.16 is: 826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.28 : 1,010.06 = 553.16 : x
  2. Step 2: Convert to fraction form
    676.28/1,010.06 = 553.16/x
  3. Step 3: Cross multiply
    676.28x = 1,010.06 × 553.16
  4. Step 4: Simplify right side
    676.28x = 558,724.79
  5. Step 5: Solve for x
    x = 558,724.79/676.28
  6. Step 6: Final answer
    x = 826.17

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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.