Home / 1,215.14-1,822.94-598.68

Finding the Fourth Proportional to 1,215.14, 1,822.94 and 598.68

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Solution

The fourth proportional to 1,215.14, 1,822.94 and 598.68 is: 898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.14 : 1,822.94 = 598.68 : x
  2. Step 2: Convert to fraction form
    1,215.14/1,822.94 = 598.68/x
  3. Step 3: Cross multiply
    1,215.14x = 1,822.94 × 598.68
  4. Step 4: Simplify right side
    1,215.14x = 1,091,354.73
  5. Step 5: Solve for x
    x = 1,091,354.73/1,215.14
  6. Step 6: Final answer
    x = 898.13

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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.