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Finding the Fourth Proportional to 501.78, 751.95 and 257.79

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Solution

The fourth proportional to 501.78, 751.95 and 257.79 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.78 : 751.95 = 257.79 : x
  2. Step 2: Convert to fraction form
    501.78/751.95 = 257.79/x
  3. Step 3: Cross multiply
    501.78x = 751.95 × 257.79
  4. Step 4: Simplify right side
    501.78x = 193,845.19
  5. Step 5: Solve for x
    x = 193,845.19/501.78
  6. Step 6: Final answer
    x = 386.32

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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.