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Finding the Fourth Proportional to 1,004.30, 1,508.12 and 757.52

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Solution

The fourth proportional to 1,004.30, 1,508.12 and 757.52 is: 1,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.30 : 1,508.12 = 757.52 : x
  2. Step 2: Convert to fraction form
    1,004.30/1,508.12 = 757.52/x
  3. Step 3: Cross multiply
    1,004.30x = 1,508.12 × 757.52
  4. Step 4: Simplify right side
    1,004.30x = 1,142,428.23
  5. Step 5: Solve for x
    x = 1,142,428.23/1,004.30
  6. Step 6: Final answer
    x = 1,137.54

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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.