Home / 1,219.17-1,828.59-397.47

Finding the Fourth Proportional to 1,219.17, 1,828.59 and 397.47

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Solution

The fourth proportional to 1,219.17, 1,828.59 and 397.47 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.17 : 1,828.59 = 397.47 : x
  2. Step 2: Convert to fraction form
    1,219.17/1,828.59 = 397.47/x
  3. Step 3: Cross multiply
    1,219.17x = 1,828.59 × 397.47
  4. Step 4: Simplify right side
    1,219.17x = 726,809.67
  5. Step 5: Solve for x
    x = 726,809.67/1,219.17
  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.