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Finding the Fourth Proportional to 801.69, 1,202.85 and 436.05

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Solution

The fourth proportional to 801.69, 1,202.85 and 436.05 is: 654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.69 : 1,202.85 = 436.05 : x
  2. Step 2: Convert to fraction form
    801.69/1,202.85 = 436.05/x
  3. Step 3: Cross multiply
    801.69x = 1,202.85 × 436.05
  4. Step 4: Simplify right side
    801.69x = 524,502.74
  5. Step 5: Solve for x
    x = 524,502.74/801.69
  6. Step 6: Final answer
    x = 654.25

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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.