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Finding the Fourth Proportional to 1,098.99, 1,648.44 and 952.26

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Solution

The fourth proportional to 1,098.99, 1,648.44 and 952.26 is: 1,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.99 : 1,648.44 = 952.26 : x
  2. Step 2: Convert to fraction form
    1,098.99/1,648.44 = 952.26/x
  3. Step 3: Cross multiply
    1,098.99x = 1,648.44 × 952.26
  4. Step 4: Simplify right side
    1,098.99x = 1,569,743.47
  5. Step 5: Solve for x
    x = 1,569,743.47/1,098.99
  6. Step 6: Final answer
    x = 1,428.35

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Double scale
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1.5x scale

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.