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Finding the Fourth Proportional to 901.50, 1,349.91 and 772.33

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Solution

The fourth proportional to 901.50, 1,349.91 and 772.33 is: 1,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.50 : 1,349.91 = 772.33 : x
  2. Step 2: Convert to fraction form
    901.50/1,349.91 = 772.33/x
  3. Step 3: Cross multiply
    901.50x = 1,349.91 × 772.33
  4. Step 4: Simplify right side
    901.50x = 1,042,572.13
  5. Step 5: Solve for x
    x = 1,042,572.13/901.50
  6. Step 6: Final answer
    x = 1,156.49

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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.