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Finding the Fourth Proportional to 977.64, 1,348.89 and 604.80

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Solution

The fourth proportional to 977.64, 1,348.89 and 604.80 is: 834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.64 : 1,348.89 = 604.80 : x
  2. Step 2: Convert to fraction form
    977.64/1,348.89 = 604.80/x
  3. Step 3: Cross multiply
    977.64x = 1,348.89 × 604.80
  4. Step 4: Simplify right side
    977.64x = 815,808.67
  5. Step 5: Solve for x
    x = 815,808.67/977.64
  6. Step 6: Final answer
    x = 834.47

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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.