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Finding the Fourth Proportional to 650.28, 970.70 and 559.56

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Solution

The fourth proportional to 650.28, 970.70 and 559.56 is: 835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.28 : 970.70 = 559.56 : x
  2. Step 2: Convert to fraction form
    650.28/970.70 = 559.56/x
  3. Step 3: Cross multiply
    650.28x = 970.70 × 559.56
  4. Step 4: Simplify right side
    650.28x = 543,164.89
  5. Step 5: Solve for x
    x = 543,164.89/650.28
  6. Step 6: Final answer
    x = 835.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.