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Finding the Fourth Proportional to 1,319.04, 1,974.96 and 992.88

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Solution

The fourth proportional to 1,319.04, 1,974.96 and 992.88 is: 1,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.04 : 1,974.96 = 992.88 : x
  2. Step 2: Convert to fraction form
    1,319.04/1,974.96 = 992.88/x
  3. Step 3: Cross multiply
    1,319.04x = 1,974.96 × 992.88
  4. Step 4: Simplify right side
    1,319.04x = 1,960,898.28
  5. Step 5: Solve for x
    x = 1,960,898.28/1,319.04
  6. Step 6: Final answer
    x = 1,486.61

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1.5x scale

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.