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Finding the Fourth Proportional to 1,178.80, 1,627.29 and 736.99

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Solution

The fourth proportional to 1,178.80, 1,627.29 and 736.99 is: 1,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.80 : 1,627.29 = 736.99 : x
  2. Step 2: Convert to fraction form
    1,178.80/1,627.29 = 736.99/x
  3. Step 3: Cross multiply
    1,178.80x = 1,627.29 × 736.99
  4. Step 4: Simplify right side
    1,178.80x = 1,199,296.46
  5. Step 5: Solve for x
    x = 1,199,296.46/1,178.80
  6. Step 6: Final answer
    x = 1,017.39

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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.