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Finding the Fourth Proportional to 978.56, 1,350.60 and 564.56

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Solution

The fourth proportional to 978.56, 1,350.60 and 564.56 is: 779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.56 : 1,350.60 = 564.56 : x
  2. Step 2: Convert to fraction form
    978.56/1,350.60 = 564.56/x
  3. Step 3: Cross multiply
    978.56x = 1,350.60 × 564.56
  4. Step 4: Simplify right side
    978.56x = 762,494.74
  5. Step 5: Solve for x
    x = 762,494.74/978.56
  6. Step 6: Final answer
    x = 779.20

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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.