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Finding the Fourth Proportional to 1,132.05, 1,698.66 and 978.96

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Solution

The fourth proportional to 1,132.05, 1,698.66 and 978.96 is: 1,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.05 : 1,698.66 = 978.96 : x
  2. Step 2: Convert to fraction form
    1,132.05/1,698.66 = 978.96/x
  3. Step 3: Cross multiply
    1,132.05x = 1,698.66 × 978.96
  4. Step 4: Simplify right side
    1,132.05x = 1,662,920.19
  5. Step 5: Solve for x
    x = 1,662,920.19/1,132.05
  6. Step 6: Final answer
    x = 1,468.95

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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.