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Finding the Fourth Proportional to 747.08, 1,120.08 and 314

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Solution

The fourth proportional to 747.08, 1,120.08 and 314 is: 470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.08 : 1,120.08 = 314 : x
  2. Step 2: Convert to fraction form
    747.08/1,120.08 = 314/x
  3. Step 3: Cross multiply
    747.08x = 1,120.08 × 314
  4. Step 4: Simplify right side
    747.08x = 351,705.12
  5. Step 5: Solve for x
    x = 351,705.12/747.08
  6. Step 6: Final answer
    x = 470.77

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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.