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Finding the Fourth Proportional to 1,119.78, 1,678.04 and 707.90

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Solution

The fourth proportional to 1,119.78, 1,678.04 and 707.90 is: 1,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.78 : 1,678.04 = 707.90 : x
  2. Step 2: Convert to fraction form
    1,119.78/1,678.04 = 707.90/x
  3. Step 3: Cross multiply
    1,119.78x = 1,678.04 × 707.90
  4. Step 4: Simplify right side
    1,119.78x = 1,187,884.52
  5. Step 5: Solve for x
    x = 1,187,884.52/1,119.78
  6. Step 6: Final answer
    x = 1,060.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.