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Finding the Fourth Proportional to 502.67, 689.99 and 446.17

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Solution

The fourth proportional to 502.67, 689.99 and 446.17 is: 612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.67 : 689.99 = 446.17 : x
  2. Step 2: Convert to fraction form
    502.67/689.99 = 446.17/x
  3. Step 3: Cross multiply
    502.67x = 689.99 × 446.17
  4. Step 4: Simplify right side
    502.67x = 307,852.84
  5. Step 5: Solve for x
    x = 307,852.84/502.67
  6. Step 6: Final answer
    x = 612.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.