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Finding the Fourth Proportional to 608.67, 839.21 and 497.90

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Solution

The fourth proportional to 608.67, 839.21 and 497.90 is: 686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.67 : 839.21 = 497.90 : x
  2. Step 2: Convert to fraction form
    608.67/839.21 = 497.90/x
  3. Step 3: Cross multiply
    608.67x = 839.21 × 497.90
  4. Step 4: Simplify right side
    608.67x = 417,835.97
  5. Step 5: Solve for x
    x = 417,835.97/608.67
  6. Step 6: Final answer
    x = 686.47

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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.