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Finding the Fourth Proportional to 1,081.45, 1,622.17 and 594.23

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Solution

The fourth proportional to 1,081.45, 1,622.17 and 594.23 is: 891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.45 : 1,622.17 = 594.23 : x
  2. Step 2: Convert to fraction form
    1,081.45/1,622.17 = 594.23/x
  3. Step 3: Cross multiply
    1,081.45x = 1,622.17 × 594.23
  4. Step 4: Simplify right side
    1,081.45x = 963,942.08
  5. Step 5: Solve for x
    x = 963,942.08/1,081.45
  6. Step 6: Final answer
    x = 891.35

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Half scale
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Double scale
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Similar ratio
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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.