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Finding the Fourth Proportional to 993.04, 1,486.82 and 748.82

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Solution

The fourth proportional to 993.04, 1,486.82 and 748.82 is: 1,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.04 : 1,486.82 = 748.82 : x
  2. Step 2: Convert to fraction form
    993.04/1,486.82 = 748.82/x
  3. Step 3: Cross multiply
    993.04x = 1,486.82 × 748.82
  4. Step 4: Simplify right side
    993.04x = 1,113,356.81
  5. Step 5: Solve for x
    x = 1,113,356.81/993.04
  6. Step 6: Final answer
    x = 1,121.17

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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.