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Finding the Fourth Proportional to 595.28, 891.82 and 378.40

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Solution

The fourth proportional to 595.28, 891.82 and 378.40 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.28 : 891.82 = 378.40 : x
  2. Step 2: Convert to fraction form
    595.28/891.82 = 378.40/x
  3. Step 3: Cross multiply
    595.28x = 891.82 × 378.40
  4. Step 4: Simplify right side
    595.28x = 337,464.69
  5. Step 5: Solve for x
    x = 337,464.69/595.28
  6. Step 6: Final answer
    x = 566.90

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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.