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Finding the Fourth Proportional to 800.54, 1,200.08 and 410.04

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Solution

The fourth proportional to 800.54, 1,200.08 and 410.04 is: 614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.54 : 1,200.08 = 410.04 : x
  2. Step 2: Convert to fraction form
    800.54/1,200.08 = 410.04/x
  3. Step 3: Cross multiply
    800.54x = 1,200.08 × 410.04
  4. Step 4: Simplify right side
    800.54x = 492,080.80
  5. Step 5: Solve for x
    x = 492,080.80/800.54
  6. Step 6: Final answer
    x = 614.69

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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.