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Finding the Fourth Proportional to 1,319.42, 1,979.17 and 454.34

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Solution

The fourth proportional to 1,319.42, 1,979.17 and 454.34 is: 681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.42 : 1,979.17 = 454.34 : x
  2. Step 2: Convert to fraction form
    1,319.42/1,979.17 = 454.34/x
  3. Step 3: Cross multiply
    1,319.42x = 1,979.17 × 454.34
  4. Step 4: Simplify right side
    1,319.42x = 899,219.91
  5. Step 5: Solve for x
    x = 899,219.91/1,319.42
  6. Step 6: Final answer
    x = 681.53

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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.