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Finding the Fourth Proportional to 801.15, 1,105.64 and 506.40

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Solution

The fourth proportional to 801.15, 1,105.64 and 506.40 is: 698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.15 : 1,105.64 = 506.40 : x
  2. Step 2: Convert to fraction form
    801.15/1,105.64 = 506.40/x
  3. Step 3: Cross multiply
    801.15x = 1,105.64 × 506.40
  4. Step 4: Simplify right side
    801.15x = 559,896.10
  5. Step 5: Solve for x
    x = 559,896.10/801.15
  6. Step 6: Final answer
    x = 698.87

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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.