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Finding the Fourth Proportional to 688.97, 1,028.40 and 592.09

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Solution

The fourth proportional to 688.97, 1,028.40 and 592.09 is: 883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.97 : 1,028.40 = 592.09 : x
  2. Step 2: Convert to fraction form
    688.97/1,028.40 = 592.09/x
  3. Step 3: Cross multiply
    688.97x = 1,028.40 × 592.09
  4. Step 4: Simplify right side
    688.97x = 608,901.67
  5. Step 5: Solve for x
    x = 608,901.67/688.97
  6. Step 6: Final answer
    x = 883.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.