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Finding the Fourth Proportional to 693.10, 1,034.65 and 642.43

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Solution

The fourth proportional to 693.10, 1,034.65 and 642.43 is: 959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.10 : 1,034.65 = 642.43 : x
  2. Step 2: Convert to fraction form
    693.10/1,034.65 = 642.43/x
  3. Step 3: Cross multiply
    693.10x = 1,034.65 × 642.43
  4. Step 4: Simplify right side
    693.10x = 664,690.20
  5. Step 5: Solve for x
    x = 664,690.20/693.10
  6. Step 6: Final answer
    x = 959.01

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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.