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Finding the Fourth Proportional to 691.97, 1,043.24 and 584.51

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Solution

The fourth proportional to 691.97, 1,043.24 and 584.51 is: 881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.97 : 1,043.24 = 584.51 : x
  2. Step 2: Convert to fraction form
    691.97/1,043.24 = 584.51/x
  3. Step 3: Cross multiply
    691.97x = 1,043.24 × 584.51
  4. Step 4: Simplify right side
    691.97x = 609,776.07
  5. Step 5: Solve for x
    x = 609,776.07/691.97
  6. Step 6: Final answer
    x = 881.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.