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Finding the Fourth Proportional to 458.42, 685.52 and 341.50

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Solution

The fourth proportional to 458.42, 685.52 and 341.50 is: 510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 685.52 = 341.50 : x
  2. Step 2: Convert to fraction form
    458.42/685.52 = 341.50/x
  3. Step 3: Cross multiply
    458.42x = 685.52 × 341.50
  4. Step 4: Simplify right side
    458.42x = 234,105.08
  5. Step 5: Solve for x
    x = 234,105.08/458.42
  6. Step 6: Final answer
    x = 510.68

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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.