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Finding the Fourth Proportional to 801.79, 1,200.51 and 416.23

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Solution

The fourth proportional to 801.79, 1,200.51 and 416.23 is: 623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.79 : 1,200.51 = 416.23 : x
  2. Step 2: Convert to fraction form
    801.79/1,200.51 = 416.23/x
  3. Step 3: Cross multiply
    801.79x = 1,200.51 × 416.23
  4. Step 4: Simplify right side
    801.79x = 499,685.28
  5. Step 5: Solve for x
    x = 499,685.28/801.79
  6. Step 6: Final answer
    x = 623.21

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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.