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Finding the Fourth Proportional to 721.56, 1,077.07 and 619.50

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Solution

The fourth proportional to 721.56, 1,077.07 and 619.50 is: 924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.56 : 1,077.07 = 619.50 : x
  2. Step 2: Convert to fraction form
    721.56/1,077.07 = 619.50/x
  3. Step 3: Cross multiply
    721.56x = 1,077.07 × 619.50
  4. Step 4: Simplify right side
    721.56x = 667,244.87
  5. Step 5: Solve for x
    x = 667,244.87/721.56
  6. Step 6: Final answer
    x = 924.73

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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.