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Finding the Fourth Proportional to 1,002.78, 1,380.11 and 707.54

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Solution

The fourth proportional to 1,002.78, 1,380.11 and 707.54 is: 973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.78 : 1,380.11 = 707.54 : x
  2. Step 2: Convert to fraction form
    1,002.78/1,380.11 = 707.54/x
  3. Step 3: Cross multiply
    1,002.78x = 1,380.11 × 707.54
  4. Step 4: Simplify right side
    1,002.78x = 976,472.59
  5. Step 5: Solve for x
    x = 976,472.59/1,002.78
  6. Step 6: Final answer
    x = 973.77

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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.