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Finding the Fourth Proportional to 460.42, 693.34 and 339.52

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Solution

The fourth proportional to 460.42, 693.34 and 339.52 is: 511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 693.34 = 339.52 : x
  2. Step 2: Convert to fraction form
    460.42/693.34 = 339.52/x
  3. Step 3: Cross multiply
    460.42x = 693.34 × 339.52
  4. Step 4: Simplify right side
    460.42x = 235,402.80
  5. Step 5: Solve for x
    x = 235,402.80/460.42
  6. Step 6: Final answer
    x = 511.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.