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Finding the Fourth Proportional to 1,205.43, 1,663.55 and 910.19

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Solution

The fourth proportional to 1,205.43, 1,663.55 and 910.19 is: 1,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.43 : 1,663.55 = 910.19 : x
  2. Step 2: Convert to fraction form
    1,205.43/1,663.55 = 910.19/x
  3. Step 3: Cross multiply
    1,205.43x = 1,663.55 × 910.19
  4. Step 4: Simplify right side
    1,205.43x = 1,514,146.57
  5. Step 5: Solve for x
    x = 1,514,146.57/1,205.43
  6. Step 6: Final answer
    x = 1,256.10

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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.