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Finding the Fourth Proportional to 1,612.31, 2,419.65 and 638.46

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Solution

The fourth proportional to 1,612.31, 2,419.65 and 638.46 is: 958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.31 : 2,419.65 = 638.46 : x
  2. Step 2: Convert to fraction form
    1,612.31/2,419.65 = 638.46/x
  3. Step 3: Cross multiply
    1,612.31x = 2,419.65 × 638.46
  4. Step 4: Simplify right side
    1,612.31x = 1,544,849.74
  5. Step 5: Solve for x
    x = 1,544,849.74/1,612.31
  6. Step 6: Final answer
    x = 958.16

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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.