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Finding the Fourth Proportional to 561.99, 775.31 and 365.52

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Solution

The fourth proportional to 561.99, 775.31 and 365.52 is: 504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.99 : 775.31 = 365.52 : x
  2. Step 2: Convert to fraction form
    561.99/775.31 = 365.52/x
  3. Step 3: Cross multiply
    561.99x = 775.31 × 365.52
  4. Step 4: Simplify right side
    561.99x = 283,389.48
  5. Step 5: Solve for x
    x = 283,389.48/561.99
  6. Step 6: Final answer
    x = 504.26

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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.