Home / 1,148.09-1,580.90-948.17

Finding the Fourth Proportional to 1,148.09, 1,580.90 and 948.17

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Solution

The fourth proportional to 1,148.09, 1,580.90 and 948.17 is: 1,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.09 : 1,580.90 = 948.17 : x
  2. Step 2: Convert to fraction form
    1,148.09/1,580.90 = 948.17/x
  3. Step 3: Cross multiply
    1,148.09x = 1,580.90 × 948.17
  4. Step 4: Simplify right side
    1,148.09x = 1,498,949.31
  5. Step 5: Solve for x
    x = 1,498,949.31/1,148.09
  6. Step 6: Final answer
    x = 1,305.61

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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.