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Finding the Fourth Proportional to 993.53, 1,371.32 and 698.90

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Solution

The fourth proportional to 993.53, 1,371.32 and 698.90 is: 964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.53 : 1,371.32 = 698.90 : x
  2. Step 2: Convert to fraction form
    993.53/1,371.32 = 698.90/x
  3. Step 3: Cross multiply
    993.53x = 1,371.32 × 698.90
  4. Step 4: Simplify right side
    993.53x = 958,415.55
  5. Step 5: Solve for x
    x = 958,415.55/993.53
  6. Step 6: Final answer
    x = 964.66

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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.