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Finding the Fourth Proportional to 693.21, 1,034.85 and 642.58

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Solution

The fourth proportional to 693.21, 1,034.85 and 642.58 is: 959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.21 : 1,034.85 = 642.58 : x
  2. Step 2: Convert to fraction form
    693.21/1,034.85 = 642.58/x
  3. Step 3: Cross multiply
    693.21x = 1,034.85 × 642.58
  4. Step 4: Simplify right side
    693.21x = 664,970.70
  5. Step 5: Solve for x
    x = 664,970.70/693.21
  6. Step 6: Final answer
    x = 959.27

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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.