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Finding the Fourth Proportional to 801.30, 1,105.62 and 521.51

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Solution

The fourth proportional to 801.30, 1,105.62 and 521.51 is: 719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.30 : 1,105.62 = 521.51 : x
  2. Step 2: Convert to fraction form
    801.30/1,105.62 = 521.51/x
  3. Step 3: Cross multiply
    801.30x = 1,105.62 × 521.51
  4. Step 4: Simplify right side
    801.30x = 576,586.36
  5. Step 5: Solve for x
    x = 576,586.36/801.30
  6. Step 6: Final answer
    x = 719.56

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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.