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Finding the Fourth Proportional to 1,281.70, 1,922.40 and 404.17

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Solution

The fourth proportional to 1,281.70, 1,922.40 and 404.17 is: 606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.70 : 1,922.40 = 404.17 : x
  2. Step 2: Convert to fraction form
    1,281.70/1,922.40 = 404.17/x
  3. Step 3: Cross multiply
    1,281.70x = 1,922.40 × 404.17
  4. Step 4: Simplify right side
    1,281.70x = 776,976.41
  5. Step 5: Solve for x
    x = 776,976.41/1,281.70
  6. Step 6: Final answer
    x = 606.21

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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.