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Finding the Fourth Proportional to 801.05, 1,200.75 and 435.07

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Solution

The fourth proportional to 801.05, 1,200.75 and 435.07 is: 652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.05 : 1,200.75 = 435.07 : x
  2. Step 2: Convert to fraction form
    801.05/1,200.75 = 435.07/x
  3. Step 3: Cross multiply
    801.05x = 1,200.75 × 435.07
  4. Step 4: Simplify right side
    801.05x = 522,410.30
  5. Step 5: Solve for x
    x = 522,410.30/801.05
  6. Step 6: Final answer
    x = 652.16

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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.