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Finding the Fourth Proportional to 993.62, 1,488.74 and 602.43

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Solution

The fourth proportional to 993.62, 1,488.74 and 602.43 is: 902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.62 : 1,488.74 = 602.43 : x
  2. Step 2: Convert to fraction form
    993.62/1,488.74 = 602.43/x
  3. Step 3: Cross multiply
    993.62x = 1,488.74 × 602.43
  4. Step 4: Simplify right side
    993.62x = 896,856.43
  5. Step 5: Solve for x
    x = 896,856.43/993.62
  6. Step 6: Final answer
    x = 902.62

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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.