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Finding the Fourth Proportional to 595.55, 820.84 and 408.71

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Solution

The fourth proportional to 595.55, 820.84 and 408.71 is: 563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.55 : 820.84 = 408.71 : x
  2. Step 2: Convert to fraction form
    595.55/820.84 = 408.71/x
  3. Step 3: Cross multiply
    595.55x = 820.84 × 408.71
  4. Step 4: Simplify right side
    595.55x = 335,485.52
  5. Step 5: Solve for x
    x = 335,485.52/595.55
  6. Step 6: Final answer
    x = 563.32

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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.