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Finding the Fourth Proportional to 504.93, 756.72 and 257.88

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Solution

The fourth proportional to 504.93, 756.72 and 257.88 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.93 : 756.72 = 257.88 : x
  2. Step 2: Convert to fraction form
    504.93/756.72 = 257.88/x
  3. Step 3: Cross multiply
    504.93x = 756.72 × 257.88
  4. Step 4: Simplify right side
    504.93x = 195,142.95
  5. Step 5: Solve for x
    x = 195,142.95/504.93
  6. Step 6: Final answer
    x = 386.48

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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.