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Finding the Fourth Proportional to 944.24, 1,300.23 and 778.17

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Solution

The fourth proportional to 944.24, 1,300.23 and 778.17 is: 1,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.24 : 1,300.23 = 778.17 : x
  2. Step 2: Convert to fraction form
    944.24/1,300.23 = 778.17/x
  3. Step 3: Cross multiply
    944.24x = 1,300.23 × 778.17
  4. Step 4: Simplify right side
    944.24x = 1,011,791.70
  5. Step 5: Solve for x
    x = 1,011,791.70/944.24
  6. Step 6: Final answer
    x = 1,071.54

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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.