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Finding the Fourth Proportional to 743.55, 1,115.32 and 523.27

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Solution

The fourth proportional to 743.55, 1,115.32 and 523.27 is: 784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.55 : 1,115.32 = 523.27 : x
  2. Step 2: Convert to fraction form
    743.55/1,115.32 = 523.27/x
  3. Step 3: Cross multiply
    743.55x = 1,115.32 × 523.27
  4. Step 4: Simplify right side
    743.55x = 583,613.50
  5. Step 5: Solve for x
    x = 583,613.50/743.55
  6. Step 6: Final answer
    x = 784.90

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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.