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Finding the Fourth Proportional to 977.40, 1,348.69 and 604.55

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Solution

The fourth proportional to 977.40, 1,348.69 and 604.55 is: 834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.40 : 1,348.69 = 604.55 : x
  2. Step 2: Convert to fraction form
    977.40/1,348.69 = 604.55/x
  3. Step 3: Cross multiply
    977.40x = 1,348.69 × 604.55
  4. Step 4: Simplify right side
    977.40x = 815,350.54
  5. Step 5: Solve for x
    x = 815,350.54/977.40
  6. Step 6: Final answer
    x = 834.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.