Home / 1,476.24-2,213.88-502.20

Finding the Fourth Proportional to 1,476.24, 2,213.88 and 502.20

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Solution

The fourth proportional to 1,476.24, 2,213.88 and 502.20 is: 753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.24 : 2,213.88 = 502.20 : x
  2. Step 2: Convert to fraction form
    1,476.24/2,213.88 = 502.20/x
  3. Step 3: Cross multiply
    1,476.24x = 2,213.88 × 502.20
  4. Step 4: Simplify right side
    1,476.24x = 1,111,810.54
  5. Step 5: Solve for x
    x = 1,111,810.54/1,476.24
  6. Step 6: Final answer
    x = 753.14

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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.