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Finding the Fourth Proportional to 561.24, 774.21 and 364.83

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Solution

The fourth proportional to 561.24, 774.21 and 364.83 is: 503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 774.21 = 364.83 : x
  2. Step 2: Convert to fraction form
    561.24/774.21 = 364.83/x
  3. Step 3: Cross multiply
    561.24x = 774.21 × 364.83
  4. Step 4: Simplify right side
    561.24x = 282,455.03
  5. Step 5: Solve for x
    x = 282,455.03/561.24
  6. Step 6: Final answer
    x = 503.27

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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.