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Finding the Fourth Proportional to 801.24, 1,203.75 and 699.18

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Solution

The fourth proportional to 801.24, 1,203.75 and 699.18 is: 1,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.24 : 1,203.75 = 699.18 : x
  2. Step 2: Convert to fraction form
    801.24/1,203.75 = 699.18/x
  3. Step 3: Cross multiply
    801.24x = 1,203.75 × 699.18
  4. Step 4: Simplify right side
    801.24x = 841,637.93
  5. Step 5: Solve for x
    x = 841,637.93/801.24
  6. Step 6: Final answer
    x = 1,050.42

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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.