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Finding the Fourth Proportional to 501.54, 751.29 and 257.63

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Solution

The fourth proportional to 501.54, 751.29 and 257.63 is: 385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.54 : 751.29 = 257.63 : x
  2. Step 2: Convert to fraction form
    501.54/751.29 = 257.63/x
  3. Step 3: Cross multiply
    501.54x = 751.29 × 257.63
  4. Step 4: Simplify right side
    501.54x = 193,551.09
  5. Step 5: Solve for x
    x = 193,551.09/501.54
  6. Step 6: Final answer
    x = 385.91

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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.