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Finding the Fourth Proportional to 573.91, 859.47 and 400.75

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Solution

The fourth proportional to 573.91, 859.47 and 400.75 is: 600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.91 : 859.47 = 400.75 : x
  2. Step 2: Convert to fraction form
    573.91/859.47 = 400.75/x
  3. Step 3: Cross multiply
    573.91x = 859.47 × 400.75
  4. Step 4: Simplify right side
    573.91x = 344,432.60
  5. Step 5: Solve for x
    x = 344,432.60/573.91
  6. Step 6: Final answer
    x = 600.15

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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.