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Finding the Fourth Proportional to 1,504.72, 2,256.50 and 517.35

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Solution

The fourth proportional to 1,504.72, 2,256.50 and 517.35 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.72 : 2,256.50 = 517.35 : x
  2. Step 2: Convert to fraction form
    1,504.72/2,256.50 = 517.35/x
  3. Step 3: Cross multiply
    1,504.72x = 2,256.50 × 517.35
  4. Step 4: Simplify right side
    1,504.72x = 1,167,400.28
  5. Step 5: Solve for x
    x = 1,167,400.28/1,504.72
  6. Step 6: Final answer
    x = 775.83

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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.