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Finding the Fourth Proportional to 715.44, 1,071.30 and 496.74

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Solution

The fourth proportional to 715.44, 1,071.30 and 496.74 is: 743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.44 : 1,071.30 = 496.74 : x
  2. Step 2: Convert to fraction form
    715.44/1,071.30 = 496.74/x
  3. Step 3: Cross multiply
    715.44x = 1,071.30 × 496.74
  4. Step 4: Simplify right side
    715.44x = 532,157.56
  5. Step 5: Solve for x
    x = 532,157.56/715.44
  6. Step 6: Final answer
    x = 743.82

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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.