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Finding the Fourth Proportional to 582.81, 874.62 and 400.38

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Solution

The fourth proportional to 582.81, 874.62 and 400.38 is: 600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.81 : 874.62 = 400.38 : x
  2. Step 2: Convert to fraction form
    582.81/874.62 = 400.38/x
  3. Step 3: Cross multiply
    582.81x = 874.62 × 400.38
  4. Step 4: Simplify right side
    582.81x = 350,180.36
  5. Step 5: Solve for x
    x = 350,180.36/582.81
  6. Step 6: Final answer
    x = 600.85

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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.