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Finding the Fourth Proportional to 501.66, 695.25 and 493.97

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Solution

The fourth proportional to 501.66, 695.25 and 493.97 is: 684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.66 : 695.25 = 493.97 : x
  2. Step 2: Convert to fraction form
    501.66/695.25 = 493.97/x
  3. Step 3: Cross multiply
    501.66x = 695.25 × 493.97
  4. Step 4: Simplify right side
    501.66x = 343,432.95
  5. Step 5: Solve for x
    x = 343,432.95/501.66
  6. Step 6: Final answer
    x = 684.59

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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.