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Finding the Fourth Proportional to 677.32, 1,010.69 and 604.60

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Solution

The fourth proportional to 677.32, 1,010.69 and 604.60 is: 902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.32 : 1,010.69 = 604.60 : x
  2. Step 2: Convert to fraction form
    677.32/1,010.69 = 604.60/x
  3. Step 3: Cross multiply
    677.32x = 1,010.69 × 604.60
  4. Step 4: Simplify right side
    677.32x = 611,063.17
  5. Step 5: Solve for x
    x = 611,063.17/677.32
  6. Step 6: Final answer
    x = 902.18

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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.