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Finding the Fourth Proportional to 750.20, 1,123.89 and 506.30

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Solution

The fourth proportional to 750.20, 1,123.89 and 506.30 is: 758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.20 : 1,123.89 = 506.30 : x
  2. Step 2: Convert to fraction form
    750.20/1,123.89 = 506.30/x
  3. Step 3: Cross multiply
    750.20x = 1,123.89 × 506.30
  4. Step 4: Simplify right side
    750.20x = 569,025.51
  5. Step 5: Solve for x
    x = 569,025.51/750.20
  6. Step 6: Final answer
    x = 758.50

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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.