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Finding the Fourth Proportional to 1,282.29, 1,923.43 and 404.86

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Solution

The fourth proportional to 1,282.29, 1,923.43 and 404.86 is: 607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.29 : 1,923.43 = 404.86 : x
  2. Step 2: Convert to fraction form
    1,282.29/1,923.43 = 404.86/x
  3. Step 3: Cross multiply
    1,282.29x = 1,923.43 × 404.86
  4. Step 4: Simplify right side
    1,282.29x = 778,719.87
  5. Step 5: Solve for x
    x = 778,719.87/1,282.29
  6. Step 6: Final answer
    x = 607.29

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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.