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Finding the Fourth Proportional to 576.58, 865.07 and 567.34

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Solution

The fourth proportional to 576.58, 865.07 and 567.34 is: 851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.58 : 865.07 = 567.34 : x
  2. Step 2: Convert to fraction form
    576.58/865.07 = 567.34/x
  3. Step 3: Cross multiply
    576.58x = 865.07 × 567.34
  4. Step 4: Simplify right side
    576.58x = 490,788.81
  5. Step 5: Solve for x
    x = 490,788.81/576.58
  6. Step 6: Final answer
    x = 851.21

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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.