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Finding the Fourth Proportional to 561.76, 774.84 and 365.20

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Solution

The fourth proportional to 561.76, 774.84 and 365.20 is: 503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 774.84 = 365.20 : x
  2. Step 2: Convert to fraction form
    561.76/774.84 = 365.20/x
  3. Step 3: Cross multiply
    561.76x = 774.84 × 365.20
  4. Step 4: Simplify right side
    561.76x = 282,971.57
  5. Step 5: Solve for x
    x = 282,971.57/561.76
  6. Step 6: Final answer
    x = 503.72

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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.