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Finding the Fourth Proportional to 532.50, 734.67 and 311.42

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Solution

The fourth proportional to 532.50, 734.67 and 311.42 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 734.67 = 311.42 : x
  2. Step 2: Convert to fraction form
    532.50/734.67 = 311.42/x
  3. Step 3: Cross multiply
    532.50x = 734.67 × 311.42
  4. Step 4: Simplify right side
    532.50x = 228,790.93
  5. Step 5: Solve for x
    x = 228,790.93/532.50
  6. Step 6: Final answer
    x = 429.65

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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.