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Finding the Fourth Proportional to 561.08, 774.34 and 312.44

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Solution

The fourth proportional to 561.08, 774.34 and 312.44 is: 431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.08 : 774.34 = 312.44 : x
  2. Step 2: Convert to fraction form
    561.08/774.34 = 312.44/x
  3. Step 3: Cross multiply
    561.08x = 774.34 × 312.44
  4. Step 4: Simplify right side
    561.08x = 241,934.79
  5. Step 5: Solve for x
    x = 241,934.79/561.08
  6. Step 6: Final answer
    x = 431.19

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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.