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Finding the Fourth Proportional to 993.76, 1,370.64 and 699.52

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Solution

The fourth proportional to 993.76, 1,370.64 and 699.52 is: 964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.76 : 1,370.64 = 699.52 : x
  2. Step 2: Convert to fraction form
    993.76/1,370.64 = 699.52/x
  3. Step 3: Cross multiply
    993.76x = 1,370.64 × 699.52
  4. Step 4: Simplify right side
    993.76x = 958,790.09
  5. Step 5: Solve for x
    x = 958,790.09/993.76
  6. Step 6: Final answer
    x = 964.81

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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.