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Finding the Fourth Proportional to 1,331.78, 1,838.13 and 890.42

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Solution

The fourth proportional to 1,331.78, 1,838.13 and 890.42 is: 1,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.78 : 1,838.13 = 890.42 : x
  2. Step 2: Convert to fraction form
    1,331.78/1,838.13 = 890.42/x
  3. Step 3: Cross multiply
    1,331.78x = 1,838.13 × 890.42
  4. Step 4: Simplify right side
    1,331.78x = 1,636,707.71
  5. Step 5: Solve for x
    x = 1,636,707.71/1,331.78
  6. Step 6: Final answer
    x = 1,228.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.