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Finding the Fourth Proportional to 501.69, 751.17 and 295.75

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Solution

The fourth proportional to 501.69, 751.17 and 295.75 is: 442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.69 : 751.17 = 295.75 : x
  2. Step 2: Convert to fraction form
    501.69/751.17 = 295.75/x
  3. Step 3: Cross multiply
    501.69x = 751.17 × 295.75
  4. Step 4: Simplify right side
    501.69x = 222,160.58
  5. Step 5: Solve for x
    x = 222,160.58/501.69
  6. Step 6: Final answer
    x = 442.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.