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Finding the Fourth Proportional to 719.26, 1,077.24 and 444.88

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Solution

The fourth proportional to 719.26, 1,077.24 and 444.88 is: 666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.26 : 1,077.24 = 444.88 : x
  2. Step 2: Convert to fraction form
    719.26/1,077.24 = 444.88/x
  3. Step 3: Cross multiply
    719.26x = 1,077.24 × 444.88
  4. Step 4: Simplify right side
    719.26x = 479,242.53
  5. Step 5: Solve for x
    x = 479,242.53/719.26
  6. Step 6: Final answer
    x = 666.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.