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Finding the Fourth Proportional to 1,612.80, 2,419.35 and 502.22

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Solution

The fourth proportional to 1,612.80, 2,419.35 and 502.22 is: 753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.80 : 2,419.35 = 502.22 : x
  2. Step 2: Convert to fraction form
    1,612.80/2,419.35 = 502.22/x
  3. Step 3: Cross multiply
    1,612.80x = 2,419.35 × 502.22
  4. Step 4: Simplify right side
    1,612.80x = 1,215,052.01
  5. Step 5: Solve for x
    x = 1,215,052.01/1,612.80
  6. Step 6: Final answer
    x = 753.38

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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.