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Finding the Fourth Proportional to 1,319.46, 1,974.89 and 972.66

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Solution

The fourth proportional to 1,319.46, 1,974.89 and 972.66 is: 1,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.46 : 1,974.89 = 972.66 : x
  2. Step 2: Convert to fraction form
    1,319.46/1,974.89 = 972.66/x
  3. Step 3: Cross multiply
    1,319.46x = 1,974.89 × 972.66
  4. Step 4: Simplify right side
    1,319.46x = 1,920,896.51
  5. Step 5: Solve for x
    x = 1,920,896.51/1,319.46
  6. Step 6: Final answer
    x = 1,455.82

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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.