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Finding the Fourth Proportional to 1,074.92, 1,612.98 and 459.23

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Solution

The fourth proportional to 1,074.92, 1,612.98 and 459.23 is: 689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.92 : 1,612.98 = 459.23 : x
  2. Step 2: Convert to fraction form
    1,074.92/1,612.98 = 459.23/x
  3. Step 3: Cross multiply
    1,074.92x = 1,612.98 × 459.23
  4. Step 4: Simplify right side
    1,074.92x = 740,720.74
  5. Step 5: Solve for x
    x = 740,720.74/1,074.92
  6. Step 6: Final answer
    x = 689.10

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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.