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Finding the Fourth Proportional to 460.42, 688.52 and 343.50

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Solution

The fourth proportional to 460.42, 688.52 and 343.50 is: 513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 688.52 = 343.50 : x
  2. Step 2: Convert to fraction form
    460.42/688.52 = 343.50/x
  3. Step 3: Cross multiply
    460.42x = 688.52 × 343.50
  4. Step 4: Simplify right side
    460.42x = 236,506.62
  5. Step 5: Solve for x
    x = 236,506.62/460.42
  6. Step 6: Final answer
    x = 513.68

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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.