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Finding the Fourth Proportional to 950.84, 1,311.87 and 619.75

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Solution

The fourth proportional to 950.84, 1,311.87 and 619.75 is: 855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.84 : 1,311.87 = 619.75 : x
  2. Step 2: Convert to fraction form
    950.84/1,311.87 = 619.75/x
  3. Step 3: Cross multiply
    950.84x = 1,311.87 × 619.75
  4. Step 4: Simplify right side
    950.84x = 813,024.87
  5. Step 5: Solve for x
    x = 813,024.87/950.84
  6. Step 6: Final answer
    x = 855.06

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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.