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Finding the Fourth Proportional to 573.40, 863.75 and 523.59

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Solution

The fourth proportional to 573.40, 863.75 and 523.59 is: 788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.40 : 863.75 = 523.59 : x
  2. Step 2: Convert to fraction form
    573.40/863.75 = 523.59/x
  3. Step 3: Cross multiply
    573.40x = 863.75 × 523.59
  4. Step 4: Simplify right side
    573.40x = 452,250.86
  5. Step 5: Solve for x
    x = 452,250.86/573.40
  6. Step 6: Final answer
    x = 788.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.