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Finding the Fourth Proportional to 829.42, 1,242.37 and 585.07

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Solution

The fourth proportional to 829.42, 1,242.37 and 585.07 is: 876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.42 : 1,242.37 = 585.07 : x
  2. Step 2: Convert to fraction form
    829.42/1,242.37 = 585.07/x
  3. Step 3: Cross multiply
    829.42x = 1,242.37 × 585.07
  4. Step 4: Simplify right side
    829.42x = 726,873.42
  5. Step 5: Solve for x
    x = 726,873.42/829.42
  6. Step 6: Final answer
    x = 876.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.