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Finding the Fourth Proportional to 561.87, 775.08 and 365.18

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Solution

The fourth proportional to 561.87, 775.08 and 365.18 is: 503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.87 : 775.08 = 365.18 : x
  2. Step 2: Convert to fraction form
    561.87/775.08 = 365.18/x
  3. Step 3: Cross multiply
    561.87x = 775.08 × 365.18
  4. Step 4: Simplify right side
    561.87x = 283,039.84
  5. Step 5: Solve for x
    x = 283,039.84/561.87
  6. Step 6: Final answer
    x = 503.75

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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.