Home / 1,612.32-2,419.16-688.08

Finding the Fourth Proportional to 1,612.32, 2,419.16 and 688.08

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Solution

The fourth proportional to 1,612.32, 2,419.16 and 688.08 is: 1,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.32 : 2,419.16 = 688.08 : x
  2. Step 2: Convert to fraction form
    1,612.32/2,419.16 = 688.08/x
  3. Step 3: Cross multiply
    1,612.32x = 2,419.16 × 688.08
  4. Step 4: Simplify right side
    1,612.32x = 1,664,575.61
  5. Step 5: Solve for x
    x = 1,664,575.61/1,612.32
  6. Step 6: Final answer
    x = 1,032.41

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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.