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Finding the Fourth Proportional to 595.10, 820.40 and 408.29

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Solution

The fourth proportional to 595.10, 820.40 and 408.29 is: 562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.10 : 820.40 = 408.29 : x
  2. Step 2: Convert to fraction form
    595.10/820.40 = 408.29/x
  3. Step 3: Cross multiply
    595.10x = 820.40 × 408.29
  4. Step 4: Simplify right side
    595.10x = 334,959.59
  5. Step 5: Solve for x
    x = 334,959.59/595.10
  6. Step 6: Final answer
    x = 562.87

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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.