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Finding the Fourth Proportional to 943.60, 1,302.25 and 550.55

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Solution

The fourth proportional to 943.60, 1,302.25 and 550.55 is: 759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.60 : 1,302.25 = 550.55 : x
  2. Step 2: Convert to fraction form
    943.60/1,302.25 = 550.55/x
  3. Step 3: Cross multiply
    943.60x = 1,302.25 × 550.55
  4. Step 4: Simplify right side
    943.60x = 716,950.87
  5. Step 5: Solve for x
    x = 716,950.87/943.60
  6. Step 6: Final answer
    x = 759.80

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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.