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Finding the Fourth Proportional to 890.28, 1,228.59 and 757.08

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Solution

The fourth proportional to 890.28, 1,228.59 and 757.08 is: 1,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.28 : 1,228.59 = 757.08 : x
  2. Step 2: Convert to fraction form
    890.28/1,228.59 = 757.08/x
  3. Step 3: Cross multiply
    890.28x = 1,228.59 × 757.08
  4. Step 4: Simplify right side
    890.28x = 930,140.92
  5. Step 5: Solve for x
    x = 930,140.92/890.28
  6. Step 6: Final answer
    x = 1,044.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.