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Finding the Fourth Proportional to 600.40, 823.52 and 576.10

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Solution

The fourth proportional to 600.40, 823.52 and 576.10 is: 790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 823.52 = 576.10 : x
  2. Step 2: Convert to fraction form
    600.40/823.52 = 576.10/x
  3. Step 3: Cross multiply
    600.40x = 823.52 × 576.10
  4. Step 4: Simplify right side
    600.40x = 474,429.87
  5. Step 5: Solve for x
    x = 474,429.87/600.40
  6. Step 6: Final answer
    x = 790.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.