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Finding the Fourth Proportional to 585, 876.25 and 378.96

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Solution

The fourth proportional to 585, 876.25 and 378.96 is: 567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 876.25 = 378.96 : x
  2. Step 2: Convert to fraction form
    585/876.25 = 378.96/x
  3. Step 3: Cross multiply
    585x = 876.25 × 378.96
  4. Step 4: Simplify right side
    585x = 332,060.89
  5. Step 5: Solve for x
    x = 332,060.89/585
  6. Step 6: Final answer
    x = 567.63

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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.