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Finding the Fourth Proportional to 678.30, 1,010.70 and 605.61

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Solution

The fourth proportional to 678.30, 1,010.70 and 605.61 is: 902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.30 : 1,010.70 = 605.61 : x
  2. Step 2: Convert to fraction form
    678.30/1,010.70 = 605.61/x
  3. Step 3: Cross multiply
    678.30x = 1,010.70 × 605.61
  4. Step 4: Simplify right side
    678.30x = 612,090.03
  5. Step 5: Solve for x
    x = 612,090.03/678.30
  6. Step 6: Final answer
    x = 902.39

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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.