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Finding the Fourth Proportional to 506.12, 701.73 and 497.61

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Solution

The fourth proportional to 506.12, 701.73 and 497.61 is: 689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 701.73 = 497.61 : x
  2. Step 2: Convert to fraction form
    506.12/701.73 = 497.61/x
  3. Step 3: Cross multiply
    506.12x = 701.73 × 497.61
  4. Step 4: Simplify right side
    506.12x = 349,187.87
  5. Step 5: Solve for x
    x = 349,187.87/506.12
  6. Step 6: Final answer
    x = 689.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.