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Finding the Fourth Proportional to 936.36, 1,404.45 and 287.22

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Solution

The fourth proportional to 936.36, 1,404.45 and 287.22 is: 430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.36 : 1,404.45 = 287.22 : x
  2. Step 2: Convert to fraction form
    936.36/1,404.45 = 287.22/x
  3. Step 3: Cross multiply
    936.36x = 1,404.45 × 287.22
  4. Step 4: Simplify right side
    936.36x = 403,386.13
  5. Step 5: Solve for x
    x = 403,386.13/936.36
  6. Step 6: Final answer
    x = 430.80

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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.