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Finding the Fourth Proportional to 523.58, 723.06 and 431.24

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Solution

The fourth proportional to 523.58, 723.06 and 431.24 is: 595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.58 : 723.06 = 431.24 : x
  2. Step 2: Convert to fraction form
    523.58/723.06 = 431.24/x
  3. Step 3: Cross multiply
    523.58x = 723.06 × 431.24
  4. Step 4: Simplify right side
    523.58x = 311,808.78
  5. Step 5: Solve for x
    x = 311,808.78/523.58
  6. Step 6: Final answer
    x = 595.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.