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Finding the Fourth Proportional to 1,568.64, 2,165.04 and 978.84

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Solution

The fourth proportional to 1,568.64, 2,165.04 and 978.84 is: 1,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.64 : 2,165.04 = 978.84 : x
  2. Step 2: Convert to fraction form
    1,568.64/2,165.04 = 978.84/x
  3. Step 3: Cross multiply
    1,568.64x = 2,165.04 × 978.84
  4. Step 4: Simplify right side
    1,568.64x = 2,119,227.75
  5. Step 5: Solve for x
    x = 2,119,227.75/1,568.64
  6. Step 6: Final answer
    x = 1,351.00

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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.