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Finding the Fourth Proportional to 977.75, 1,348.67 and 682.91

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Solution

The fourth proportional to 977.75, 1,348.67 and 682.91 is: 941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.75 : 1,348.67 = 682.91 : x
  2. Step 2: Convert to fraction form
    977.75/1,348.67 = 682.91/x
  3. Step 3: Cross multiply
    977.75x = 1,348.67 × 682.91
  4. Step 4: Simplify right side
    977.75x = 921,020.23
  5. Step 5: Solve for x
    x = 921,020.23/977.75
  6. Step 6: Final answer
    x = 941.98

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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.