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Finding the Fourth Proportional to 1,387.81, 2,081.25 and 463.11

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Solution

The fourth proportional to 1,387.81, 2,081.25 and 463.11 is: 694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.81 : 2,081.25 = 463.11 : x
  2. Step 2: Convert to fraction form
    1,387.81/2,081.25 = 463.11/x
  3. Step 3: Cross multiply
    1,387.81x = 2,081.25 × 463.11
  4. Step 4: Simplify right side
    1,387.81x = 963,847.69
  5. Step 5: Solve for x
    x = 963,847.69/1,387.81
  6. Step 6: Final answer
    x = 694.51

Related Problems

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Double scale
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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.