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Finding the Fourth Proportional to 993.18, 1,370.04 and 744.50

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Solution

The fourth proportional to 993.18, 1,370.04 and 744.50 is: 1,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.18 : 1,370.04 = 744.50 : x
  2. Step 2: Convert to fraction form
    993.18/1,370.04 = 744.50/x
  3. Step 3: Cross multiply
    993.18x = 1,370.04 × 744.50
  4. Step 4: Simplify right side
    993.18x = 1,019,994.78
  5. Step 5: Solve for x
    x = 1,019,994.78/993.18
  6. Step 6: Final answer
    x = 1,027.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.