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Finding the Fourth Proportional to 752.81, 1,129.28 and 204.99

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Solution

The fourth proportional to 752.81, 1,129.28 and 204.99 is: 307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.81 : 1,129.28 = 204.99 : x
  2. Step 2: Convert to fraction form
    752.81/1,129.28 = 204.99/x
  3. Step 3: Cross multiply
    752.81x = 1,129.28 × 204.99
  4. Step 4: Simplify right side
    752.81x = 231,490.08
  5. Step 5: Solve for x
    x = 231,490.08/752.81
  6. Step 6: Final answer
    x = 307.50

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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.