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Finding the Fourth Proportional to 748.65, 1,033.17 and 417.07

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Solution

The fourth proportional to 748.65, 1,033.17 and 417.07 is: 575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.65 : 1,033.17 = 417.07 : x
  2. Step 2: Convert to fraction form
    748.65/1,033.17 = 417.07/x
  3. Step 3: Cross multiply
    748.65x = 1,033.17 × 417.07
  4. Step 4: Simplify right side
    748.65x = 430,903.94
  5. Step 5: Solve for x
    x = 430,903.94/748.65
  6. Step 6: Final answer
    x = 575.57

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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.