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Finding the Fourth Proportional to 719.23, 1,078.85 and 475.70

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Solution

The fourth proportional to 719.23, 1,078.85 and 475.70 is: 713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.23 : 1,078.85 = 475.70 : x
  2. Step 2: Convert to fraction form
    719.23/1,078.85 = 475.70/x
  3. Step 3: Cross multiply
    719.23x = 1,078.85 × 475.70
  4. Step 4: Simplify right side
    719.23x = 513,206.57
  5. Step 5: Solve for x
    x = 513,206.57/719.23
  6. Step 6: Final answer
    x = 713.55

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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.