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Finding the Fourth Proportional to 1,476.40, 2,215.20 and 502.78

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Solution

The fourth proportional to 1,476.40, 2,215.20 and 502.78 is: 754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.40 : 2,215.20 = 502.78 : x
  2. Step 2: Convert to fraction form
    1,476.40/2,215.20 = 502.78/x
  3. Step 3: Cross multiply
    1,476.40x = 2,215.20 × 502.78
  4. Step 4: Simplify right side
    1,476.40x = 1,113,758.26
  5. Step 5: Solve for x
    x = 1,113,758.26/1,476.40
  6. Step 6: Final answer
    x = 754.37

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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.