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Finding the Fourth Proportional to 1,599.24, 2,206.74 and 978.12

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Solution

The fourth proportional to 1,599.24, 2,206.74 and 978.12 is: 1,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.24 : 2,206.74 = 978.12 : x
  2. Step 2: Convert to fraction form
    1,599.24/2,206.74 = 978.12/x
  3. Step 3: Cross multiply
    1,599.24x = 2,206.74 × 978.12
  4. Step 4: Simplify right side
    1,599.24x = 2,158,456.53
  5. Step 5: Solve for x
    x = 2,158,456.53/1,599.24
  6. Step 6: Final answer
    x = 1,349.68

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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.