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Finding the Fourth Proportional to 978.64, 1,349.96 and 698.56

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Solution

The fourth proportional to 978.64, 1,349.96 and 698.56 is: 963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.64 : 1,349.96 = 698.56 : x
  2. Step 2: Convert to fraction form
    978.64/1,349.96 = 698.56/x
  3. Step 3: Cross multiply
    978.64x = 1,349.96 × 698.56
  4. Step 4: Simplify right side
    978.64x = 943,028.06
  5. Step 5: Solve for x
    x = 943,028.06/978.64
  6. Step 6: Final answer
    x = 963.61

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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.