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Finding the Fourth Proportional to 678.10, 1,010.41 and 604.41

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Solution

The fourth proportional to 678.10, 1,010.41 and 604.41 is: 900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.10 : 1,010.41 = 604.41 : x
  2. Step 2: Convert to fraction form
    678.10/1,010.41 = 604.41/x
  3. Step 3: Cross multiply
    678.10x = 1,010.41 × 604.41
  4. Step 4: Simplify right side
    678.10x = 610,701.91
  5. Step 5: Solve for x
    x = 610,701.91/678.10
  6. Step 6: Final answer
    x = 900.61

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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.