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Finding the Fourth Proportional to 576.12, 859.86 and 497.68

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Solution

The fourth proportional to 576.12, 859.86 and 497.68 is: 742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.12 : 859.86 = 497.68 : x
  2. Step 2: Convert to fraction form
    576.12/859.86 = 497.68/x
  3. Step 3: Cross multiply
    576.12x = 859.86 × 497.68
  4. Step 4: Simplify right side
    576.12x = 427,935.12
  5. Step 5: Solve for x
    x = 427,935.12/576.12
  6. Step 6: Final answer
    x = 742.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.