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Finding the Fourth Proportional to 458.53, 686.61 and 293.49

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Solution

The fourth proportional to 458.53, 686.61 and 293.49 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.53 : 686.61 = 293.49 : x
  2. Step 2: Convert to fraction form
    458.53/686.61 = 293.49/x
  3. Step 3: Cross multiply
    458.53x = 686.61 × 293.49
  4. Step 4: Simplify right side
    458.53x = 201,513.17
  5. Step 5: Solve for x
    x = 201,513.17/458.53
  6. Step 6: Final answer
    x = 439.48

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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.