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Finding the Fourth Proportional to 599.31, 826.60 and 400.05

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Solution

The fourth proportional to 599.31, 826.60 and 400.05 is: 551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.31 : 826.60 = 400.05 : x
  2. Step 2: Convert to fraction form
    599.31/826.60 = 400.05/x
  3. Step 3: Cross multiply
    599.31x = 826.60 × 400.05
  4. Step 4: Simplify right side
    599.31x = 330,681.33
  5. Step 5: Solve for x
    x = 330,681.33/599.31
  6. Step 6: Final answer
    x = 551.77

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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.