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Finding the Fourth Proportional to 502.38, 689.58 and 445.86

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Solution

The fourth proportional to 502.38, 689.58 and 445.86 is: 612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.38 : 689.58 = 445.86 : x
  2. Step 2: Convert to fraction form
    502.38/689.58 = 445.86/x
  3. Step 3: Cross multiply
    502.38x = 689.58 × 445.86
  4. Step 4: Simplify right side
    502.38x = 307,456.14
  5. Step 5: Solve for x
    x = 307,456.14/502.38
  6. Step 6: Final answer
    x = 612.00

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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.