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Finding the Fourth Proportional to 595.21, 891.24 and 411.79

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Solution

The fourth proportional to 595.21, 891.24 and 411.79 is: 616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.21 : 891.24 = 411.79 : x
  2. Step 2: Convert to fraction form
    595.21/891.24 = 411.79/x
  3. Step 3: Cross multiply
    595.21x = 891.24 × 411.79
  4. Step 4: Simplify right side
    595.21x = 367,003.72
  5. Step 5: Solve for x
    x = 367,003.72/595.21
  6. Step 6: Final answer
    x = 616.60

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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.