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Finding the Fourth Proportional to 936.55, 1,404.35 and 287.20

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Solution

The fourth proportional to 936.55, 1,404.35 and 287.20 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.55 : 1,404.35 = 287.20 : x
  2. Step 2: Convert to fraction form
    936.55/1,404.35 = 287.20/x
  3. Step 3: Cross multiply
    936.55x = 1,404.35 × 287.20
  4. Step 4: Simplify right side
    936.55x = 403,329.32
  5. Step 5: Solve for x
    x = 403,329.32/936.55
  6. Step 6: Final answer
    x = 430.65

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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.