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Finding the Fourth Proportional to 805.76, 1,207.36 and 750.72

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Solution

The fourth proportional to 805.76, 1,207.36 and 750.72 is: 1,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.76 : 1,207.36 = 750.72 : x
  2. Step 2: Convert to fraction form
    805.76/1,207.36 = 750.72/x
  3. Step 3: Cross multiply
    805.76x = 1,207.36 × 750.72
  4. Step 4: Simplify right side
    805.76x = 906,389.30
  5. Step 5: Solve for x
    x = 906,389.30/805.76
  6. Step 6: Final answer
    x = 1,124.89

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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.