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Finding the Fourth Proportional to 689, 1,033.50 and 462.44

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Solution

The fourth proportional to 689, 1,033.50 and 462.44 is: 693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    689 : 1,033.50 = 462.44 : x
  2. Step 2: Convert to fraction form
    689/1,033.50 = 462.44/x
  3. Step 3: Cross multiply
    689x = 1,033.50 × 462.44
  4. Step 4: Simplify right side
    689x = 477,931.74
  5. Step 5: Solve for x
    x = 477,931.74/689
  6. Step 6: Final answer
    x = 693.66

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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.