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Finding the Fourth Proportional to 1,388.50, 2,082.90 and 463.81

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Solution

The fourth proportional to 1,388.50, 2,082.90 and 463.81 is: 695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.50 : 2,082.90 = 463.81 : x
  2. Step 2: Convert to fraction form
    1,388.50/2,082.90 = 463.81/x
  3. Step 3: Cross multiply
    1,388.50x = 2,082.90 × 463.81
  4. Step 4: Simplify right side
    1,388.50x = 966,069.85
  5. Step 5: Solve for x
    x = 966,069.85/1,388.50
  6. Step 6: Final answer
    x = 695.77

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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.