Home / 1,148.21-1,585.29-882.18

Finding the Fourth Proportional to 1,148.21, 1,585.29 and 882.18

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Solution

The fourth proportional to 1,148.21, 1,585.29 and 882.18 is: 1,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.21 : 1,585.29 = 882.18 : x
  2. Step 2: Convert to fraction form
    1,148.21/1,585.29 = 882.18/x
  3. Step 3: Cross multiply
    1,148.21x = 1,585.29 × 882.18
  4. Step 4: Simplify right side
    1,148.21x = 1,398,511.13
  5. Step 5: Solve for x
    x = 1,398,511.13/1,148.21
  6. Step 6: Final answer
    x = 1,217.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.