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Finding the Fourth Proportional to 1,319.46, 1,979.87 and 957.23

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Solution

The fourth proportional to 1,319.46, 1,979.87 and 957.23 is: 1,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.46 : 1,979.87 = 957.23 : x
  2. Step 2: Convert to fraction form
    1,319.46/1,979.87 = 957.23/x
  3. Step 3: Cross multiply
    1,319.46x = 1,979.87 × 957.23
  4. Step 4: Simplify right side
    1,319.46x = 1,895,186.17
  5. Step 5: Solve for x
    x = 1,895,186.17/1,319.46
  6. Step 6: Final answer
    x = 1,436.34

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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.