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Finding the Fourth Proportional to 576.68, 859.48 and 575.78

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Solution

The fourth proportional to 576.68, 859.48 and 575.78 is: 858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.68 : 859.48 = 575.78 : x
  2. Step 2: Convert to fraction form
    576.68/859.48 = 575.78/x
  3. Step 3: Cross multiply
    576.68x = 859.48 × 575.78
  4. Step 4: Simplify right side
    576.68x = 494,871.39
  5. Step 5: Solve for x
    x = 494,871.39/576.68
  6. Step 6: Final answer
    x = 858.14

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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.