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Finding the Fourth Proportional to 458.70, 686.43 and 312.47

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Solution

The fourth proportional to 458.70, 686.43 and 312.47 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.70 : 686.43 = 312.47 : x
  2. Step 2: Convert to fraction form
    458.70/686.43 = 312.47/x
  3. Step 3: Cross multiply
    458.70x = 686.43 × 312.47
  4. Step 4: Simplify right side
    458.70x = 214,485.35
  5. Step 5: Solve for x
    x = 214,485.35/458.70
  6. Step 6: Final answer
    x = 467.59

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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.