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Finding the Fourth Proportional to 675.89, 1,012.66 and 659.74

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Solution

The fourth proportional to 675.89, 1,012.66 and 659.74 is: 988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.89 : 1,012.66 = 659.74 : x
  2. Step 2: Convert to fraction form
    675.89/1,012.66 = 659.74/x
  3. Step 3: Cross multiply
    675.89x = 1,012.66 × 659.74
  4. Step 4: Simplify right side
    675.89x = 668,089.01
  5. Step 5: Solve for x
    x = 668,089.01/675.89
  6. Step 6: Final answer
    x = 988.47

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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.