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Finding the Fourth Proportional to 1,131.54, 1,689.11 and 978.45

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Solution

The fourth proportional to 1,131.54, 1,689.11 and 978.45 is: 1,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.54 : 1,689.11 = 978.45 : x
  2. Step 2: Convert to fraction form
    1,131.54/1,689.11 = 978.45/x
  3. Step 3: Cross multiply
    1,131.54x = 1,689.11 × 978.45
  4. Step 4: Simplify right side
    1,131.54x = 1,652,709.68
  5. Step 5: Solve for x
    x = 1,652,709.68/1,131.54
  6. Step 6: Final answer
    x = 1,460.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.