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Finding the Fourth Proportional to 561.45, 774.47 and 364.96

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Solution

The fourth proportional to 561.45, 774.47 and 364.96 is: 503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.45 : 774.47 = 364.96 : x
  2. Step 2: Convert to fraction form
    561.45/774.47 = 364.96/x
  3. Step 3: Cross multiply
    561.45x = 774.47 × 364.96
  4. Step 4: Simplify right side
    561.45x = 282,650.57
  5. Step 5: Solve for x
    x = 282,650.57/561.45
  6. Step 6: Final answer
    x = 503.43

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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.