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Finding the Fourth Proportional to 1,474.98, 2,036.51 and 978.65

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Solution

The fourth proportional to 1,474.98, 2,036.51 and 978.65 is: 1,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.98 : 2,036.51 = 978.65 : x
  2. Step 2: Convert to fraction form
    1,474.98/2,036.51 = 978.65/x
  3. Step 3: Cross multiply
    1,474.98x = 2,036.51 × 978.65
  4. Step 4: Simplify right side
    1,474.98x = 1,993,026.74
  5. Step 5: Solve for x
    x = 1,993,026.74/1,474.98
  6. Step 6: Final answer
    x = 1,351.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.