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Finding the Fourth Proportional to 1,084.69, 1,624.30 and 940.49

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Solution

The fourth proportional to 1,084.69, 1,624.30 and 940.49 is: 1,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.69 : 1,624.30 = 940.49 : x
  2. Step 2: Convert to fraction form
    1,084.69/1,624.30 = 940.49/x
  3. Step 3: Cross multiply
    1,084.69x = 1,624.30 × 940.49
  4. Step 4: Simplify right side
    1,084.69x = 1,527,637.91
  5. Step 5: Solve for x
    x = 1,527,637.91/1,084.69
  6. Step 6: Final answer
    x = 1,408.36

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1.5x scale

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.