Home / 1,448.19-1,998.24-916.17

Finding the Fourth Proportional to 1,448.19, 1,998.24 and 916.17

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Solution

The fourth proportional to 1,448.19, 1,998.24 and 916.17 is: 1,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.19 : 1,998.24 = 916.17 : x
  2. Step 2: Convert to fraction form
    1,448.19/1,998.24 = 916.17/x
  3. Step 3: Cross multiply
    1,448.19x = 1,998.24 × 916.17
  4. Step 4: Simplify right side
    1,448.19x = 1,830,727.54
  5. Step 5: Solve for x
    x = 1,830,727.54/1,448.19
  6. Step 6: Final answer
    x = 1,264.15

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Half scale
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Double scale
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1.5x scale

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.