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Finding the Fourth Proportional to 1,185.39, 1,774.93 and 980.87

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Solution

The fourth proportional to 1,185.39, 1,774.93 and 980.87 is: 1,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.39 : 1,774.93 = 980.87 : x
  2. Step 2: Convert to fraction form
    1,185.39/1,774.93 = 980.87/x
  3. Step 3: Cross multiply
    1,185.39x = 1,774.93 × 980.87
  4. Step 4: Simplify right side
    1,185.39x = 1,740,975.59
  5. Step 5: Solve for x
    x = 1,740,975.59/1,185.39
  6. Step 6: Final answer
    x = 1,468.69

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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.