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Finding the Fourth Proportional to 918.03, 1,377.07 and 736.59

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Solution

The fourth proportional to 918.03, 1,377.07 and 736.59 is: 1,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.03 : 1,377.07 = 736.59 : x
  2. Step 2: Convert to fraction form
    918.03/1,377.07 = 736.59/x
  3. Step 3: Cross multiply
    918.03x = 1,377.07 × 736.59
  4. Step 4: Simplify right side
    918.03x = 1,014,339.31
  5. Step 5: Solve for x
    x = 1,014,339.31/918.03
  6. Step 6: Final answer
    x = 1,104.90

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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.