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Finding the Fourth Proportional to 595.17, 891.84 and 378.09

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Solution

The fourth proportional to 595.17, 891.84 and 378.09 is: 566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.17 : 891.84 = 378.09 : x
  2. Step 2: Convert to fraction form
    595.17/891.84 = 378.09/x
  3. Step 3: Cross multiply
    595.17x = 891.84 × 378.09
  4. Step 4: Simplify right side
    595.17x = 337,195.79
  5. Step 5: Solve for x
    x = 337,195.79/595.17
  6. Step 6: Final answer
    x = 566.55

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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.