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Finding the Fourth Proportional to 501.99, 755.78 and 392.90

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Solution

The fourth proportional to 501.99, 755.78 and 392.90 is: 591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.99 : 755.78 = 392.90 : x
  2. Step 2: Convert to fraction form
    501.99/755.78 = 392.90/x
  3. Step 3: Cross multiply
    501.99x = 755.78 × 392.90
  4. Step 4: Simplify right side
    501.99x = 296,940.22
  5. Step 5: Solve for x
    x = 296,940.22/501.99
  6. Step 6: Final answer
    x = 591.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.