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Finding the Fourth Proportional to 574.19, 859.87 and 487.01

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Solution

The fourth proportional to 574.19, 859.87 and 487.01 is: 729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.19 : 859.87 = 487.01 : x
  2. Step 2: Convert to fraction form
    574.19/859.87 = 487.01/x
  3. Step 3: Cross multiply
    574.19x = 859.87 × 487.01
  4. Step 4: Simplify right side
    574.19x = 418,765.31
  5. Step 5: Solve for x
    x = 418,765.31/574.19
  6. Step 6: Final answer
    x = 729.32

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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.