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Finding the Fourth Proportional to 1,364.31, 2,045.66 and 978.75

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Solution

The fourth proportional to 1,364.31, 2,045.66 and 978.75 is: 1,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.31 : 2,045.66 = 978.75 : x
  2. Step 2: Convert to fraction form
    1,364.31/2,045.66 = 978.75/x
  3. Step 3: Cross multiply
    1,364.31x = 2,045.66 × 978.75
  4. Step 4: Simplify right side
    1,364.31x = 2,002,184.83
  5. Step 5: Solve for x
    x = 2,002,184.83/1,364.31
  6. Step 6: Final answer
    x = 1,467.54

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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.