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Finding the Fourth Proportional to 532.37, 734.62 and 311.34

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Solution

The fourth proportional to 532.37, 734.62 and 311.34 is: 429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.37 : 734.62 = 311.34 : x
  2. Step 2: Convert to fraction form
    532.37/734.62 = 311.34/x
  3. Step 3: Cross multiply
    532.37x = 734.62 × 311.34
  4. Step 4: Simplify right side
    532.37x = 228,719.15
  5. Step 5: Solve for x
    x = 228,719.15/532.37
  6. Step 6: Final answer
    x = 429.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.