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Finding the Fourth Proportional to 595.32, 821.74 and 409.76

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Solution

The fourth proportional to 595.32, 821.74 and 409.76 is: 565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.32 : 821.74 = 409.76 : x
  2. Step 2: Convert to fraction form
    595.32/821.74 = 409.76/x
  3. Step 3: Cross multiply
    595.32x = 821.74 × 409.76
  4. Step 4: Simplify right side
    595.32x = 336,716.18
  5. Step 5: Solve for x
    x = 336,716.18/595.32
  6. Step 6: Final answer
    x = 565.61

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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.