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Finding the Fourth Proportional to 1,602.25, 2,211.11 and 866.25

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Solution

The fourth proportional to 1,602.25, 2,211.11 and 866.25 is: 1,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.25 : 2,211.11 = 866.25 : x
  2. Step 2: Convert to fraction form
    1,602.25/2,211.11 = 866.25/x
  3. Step 3: Cross multiply
    1,602.25x = 2,211.11 × 866.25
  4. Step 4: Simplify right side
    1,602.25x = 1,915,369.71
  5. Step 5: Solve for x
    x = 1,915,369.71/1,602.25
  6. Step 6: Final answer
    x = 1,195.43

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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.