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Finding the Fourth Proportional to 458.83, 686.94 and 335.56

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Solution

The fourth proportional to 458.83, 686.94 and 335.56 is: 502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.83 : 686.94 = 335.56 : x
  2. Step 2: Convert to fraction form
    458.83/686.94 = 335.56/x
  3. Step 3: Cross multiply
    458.83x = 686.94 × 335.56
  4. Step 4: Simplify right side
    458.83x = 230,509.59
  5. Step 5: Solve for x
    x = 230,509.59/458.83
  6. Step 6: Final answer
    x = 502.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.