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Finding the Fourth Proportional to 575.46, 791.72 and 501.95

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Solution

The fourth proportional to 575.46, 791.72 and 501.95 is: 690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.46 : 791.72 = 501.95 : x
  2. Step 2: Convert to fraction form
    575.46/791.72 = 501.95/x
  3. Step 3: Cross multiply
    575.46x = 791.72 × 501.95
  4. Step 4: Simplify right side
    575.46x = 397,397.39
  5. Step 5: Solve for x
    x = 397,397.39/575.46
  6. Step 6: Final answer
    x = 690.57

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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.