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Finding the Fourth Proportional to 930.78, 1,396.10 and 314.50

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Solution

The fourth proportional to 930.78, 1,396.10 and 314.50 is: 471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.78 : 1,396.10 = 314.50 : x
  2. Step 2: Convert to fraction form
    930.78/1,396.10 = 314.50/x
  3. Step 3: Cross multiply
    930.78x = 1,396.10 × 314.50
  4. Step 4: Simplify right side
    930.78x = 439,073.45
  5. Step 5: Solve for x
    x = 439,073.45/930.78
  6. Step 6: Final answer
    x = 471.73

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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.