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Finding the Fourth Proportional to 738.26, 1,105.42 and 584.50

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Solution

The fourth proportional to 738.26, 1,105.42 and 584.50 is: 875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.26 : 1,105.42 = 584.50 : x
  2. Step 2: Convert to fraction form
    738.26/1,105.42 = 584.50/x
  3. Step 3: Cross multiply
    738.26x = 1,105.42 × 584.50
  4. Step 4: Simplify right side
    738.26x = 646,117.99
  5. Step 5: Solve for x
    x = 646,117.99/738.26
  6. Step 6: Final answer
    x = 875.19

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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.