Home / 1,219.32-1,829.12-397.40

Finding the Fourth Proportional to 1,219.32, 1,829.12 and 397.40

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Solution

The fourth proportional to 1,219.32, 1,829.12 and 397.40 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.32 : 1,829.12 = 397.40 : x
  2. Step 2: Convert to fraction form
    1,219.32/1,829.12 = 397.40/x
  3. Step 3: Cross multiply
    1,219.32x = 1,829.12 × 397.40
  4. Step 4: Simplify right side
    1,219.32x = 726,892.29
  5. Step 5: Solve for x
    x = 726,892.29/1,219.32
  6. Step 6: Final answer
    x = 596.15

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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.