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Finding the Fourth Proportional to 801.77, 1,200.43 and 410.93

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Solution

The fourth proportional to 801.77, 1,200.43 and 410.93 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.77 : 1,200.43 = 410.93 : x
  2. Step 2: Convert to fraction form
    801.77/1,200.43 = 410.93/x
  3. Step 3: Cross multiply
    801.77x = 1,200.43 × 410.93
  4. Step 4: Simplify right side
    801.77x = 493,292.70
  5. Step 5: Solve for x
    x = 493,292.70/801.77
  6. Step 6: Final answer
    x = 615.25

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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.