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Finding the Fourth Proportional to 595.24, 821.18 and 408.44

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Solution

The fourth proportional to 595.24, 821.18 and 408.44 is: 563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.24 : 821.18 = 408.44 : x
  2. Step 2: Convert to fraction form
    595.24/821.18 = 408.44/x
  3. Step 3: Cross multiply
    595.24x = 821.18 × 408.44
  4. Step 4: Simplify right side
    595.24x = 335,402.76
  5. Step 5: Solve for x
    x = 335,402.76/595.24
  6. Step 6: Final answer
    x = 563.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.