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Finding the Fourth Proportional to 1,086.81, 1,626.12 and 646.44

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Solution

The fourth proportional to 1,086.81, 1,626.12 and 646.44 is: 967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.81 : 1,626.12 = 646.44 : x
  2. Step 2: Convert to fraction form
    1,086.81/1,626.12 = 646.44/x
  3. Step 3: Cross multiply
    1,086.81x = 1,626.12 × 646.44
  4. Step 4: Simplify right side
    1,086.81x = 1,051,189.01
  5. Step 5: Solve for x
    x = 1,051,189.01/1,086.81
  6. Step 6: Final answer
    x = 967.22

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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.