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Finding the Fourth Proportional to 572.39, 790.53 and 523.25

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Solution

The fourth proportional to 572.39, 790.53 and 523.25 is: 722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.39 : 790.53 = 523.25 : x
  2. Step 2: Convert to fraction form
    572.39/790.53 = 523.25/x
  3. Step 3: Cross multiply
    572.39x = 790.53 × 523.25
  4. Step 4: Simplify right side
    572.39x = 413,644.82
  5. Step 5: Solve for x
    x = 413,644.82/572.39
  6. Step 6: Final answer
    x = 722.66

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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.