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Finding the Fourth Proportional to 600.51, 828.17 and 404.29

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Solution

The fourth proportional to 600.51, 828.17 and 404.29 is: 557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.51 : 828.17 = 404.29 : x
  2. Step 2: Convert to fraction form
    600.51/828.17 = 404.29/x
  3. Step 3: Cross multiply
    600.51x = 828.17 × 404.29
  4. Step 4: Simplify right side
    600.51x = 334,823.65
  5. Step 5: Solve for x
    x = 334,823.65/600.51
  6. Step 6: Final answer
    x = 557.56

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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.