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Finding the Fourth Proportional to 502.17, 689.31 and 445.67

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Solution

The fourth proportional to 502.17, 689.31 and 445.67 is: 611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.17 : 689.31 = 445.67 : x
  2. Step 2: Convert to fraction form
    502.17/689.31 = 445.67/x
  3. Step 3: Cross multiply
    502.17x = 689.31 × 445.67
  4. Step 4: Simplify right side
    502.17x = 307,204.79
  5. Step 5: Solve for x
    x = 307,204.79/502.17
  6. Step 6: Final answer
    x = 611.75

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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.