Home / 1,463.13-2,191.05-814.32

Finding the Fourth Proportional to 1,463.13, 2,191.05 and 814.32

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Solution

The fourth proportional to 1,463.13, 2,191.05 and 814.32 is: 1,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.13 : 2,191.05 = 814.32 : x
  2. Step 2: Convert to fraction form
    1,463.13/2,191.05 = 814.32/x
  3. Step 3: Cross multiply
    1,463.13x = 2,191.05 × 814.32
  4. Step 4: Simplify right side
    1,463.13x = 1,784,215.84
  5. Step 5: Solve for x
    x = 1,784,215.84/1,463.13
  6. Step 6: Final answer
    x = 1,219.45

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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.