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Finding the Fourth Proportional to 1,202.15, 1,658.69 and 704.61

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Solution

The fourth proportional to 1,202.15, 1,658.69 and 704.61 is: 972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.15 : 1,658.69 = 704.61 : x
  2. Step 2: Convert to fraction form
    1,202.15/1,658.69 = 704.61/x
  3. Step 3: Cross multiply
    1,202.15x = 1,658.69 × 704.61
  4. Step 4: Simplify right side
    1,202.15x = 1,168,726.04
  5. Step 5: Solve for x
    x = 1,168,726.04/1,202.15
  6. Step 6: Final answer
    x = 972.20

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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.