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Finding the Fourth Proportional to 675.69, 1,008.25 and 588.21

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Solution

The fourth proportional to 675.69, 1,008.25 and 588.21 is: 877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.69 : 1,008.25 = 588.21 : x
  2. Step 2: Convert to fraction form
    675.69/1,008.25 = 588.21/x
  3. Step 3: Cross multiply
    675.69x = 1,008.25 × 588.21
  4. Step 4: Simplify right side
    675.69x = 593,059.79
  5. Step 5: Solve for x
    x = 593,059.79/675.69
  6. Step 6: Final answer
    x = 877.71

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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.