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Finding the Fourth Proportional to 801.57, 1,106.17 and 465.54

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Solution

The fourth proportional to 801.57, 1,106.17 and 465.54 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.57 : 1,106.17 = 465.54 : x
  2. Step 2: Convert to fraction form
    801.57/1,106.17 = 465.54/x
  3. Step 3: Cross multiply
    801.57x = 1,106.17 × 465.54
  4. Step 4: Simplify right side
    801.57x = 514,961.07
  5. Step 5: Solve for x
    x = 514,961.07/801.57
  6. Step 6: Final answer
    x = 642.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.