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Finding the Fourth Proportional to 719.15, 1,076.78 and 499.32

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Solution

The fourth proportional to 719.15, 1,076.78 and 499.32 is: 747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.15 : 1,076.78 = 499.32 : x
  2. Step 2: Convert to fraction form
    719.15/1,076.78 = 499.32/x
  3. Step 3: Cross multiply
    719.15x = 1,076.78 × 499.32
  4. Step 4: Simplify right side
    719.15x = 537,659.04
  5. Step 5: Solve for x
    x = 537,659.04/719.15
  6. Step 6: Final answer
    x = 747.64

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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.