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Finding the Fourth Proportional to 1,079.66, 1,618.64 and 993.17

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Solution

The fourth proportional to 1,079.66, 1,618.64 and 993.17 is: 1,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.66 : 1,618.64 = 993.17 : x
  2. Step 2: Convert to fraction form
    1,079.66/1,618.64 = 993.17/x
  3. Step 3: Cross multiply
    1,079.66x = 1,618.64 × 993.17
  4. Step 4: Simplify right side
    1,079.66x = 1,607,587.49
  5. Step 5: Solve for x
    x = 1,607,587.49/1,079.66
  6. Step 6: Final answer
    x = 1,488.97

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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.