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Finding the Fourth Proportional to 600.65, 827.58 and 403.82

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Solution

The fourth proportional to 600.65, 827.58 and 403.82 is: 556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.65 : 827.58 = 403.82 : x
  2. Step 2: Convert to fraction form
    600.65/827.58 = 403.82/x
  3. Step 3: Cross multiply
    600.65x = 827.58 × 403.82
  4. Step 4: Simplify right side
    600.65x = 334,195.42
  5. Step 5: Solve for x
    x = 334,195.42/600.65
  6. Step 6: Final answer
    x = 556.39

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1.5x scale

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.