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Finding the Fourth Proportional to 576.51, 864.78 and 143.67

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Solution

The fourth proportional to 576.51, 864.78 and 143.67 is: 215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.51 : 864.78 = 143.67 : x
  2. Step 2: Convert to fraction form
    576.51/864.78 = 143.67/x
  3. Step 3: Cross multiply
    576.51x = 864.78 × 143.67
  4. Step 4: Simplify right side
    576.51x = 124,242.94
  5. Step 5: Solve for x
    x = 124,242.94/576.51
  6. Step 6: Final answer
    x = 215.51

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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.