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Finding the Fourth Proportional to 1,163.84, 1,606.10 and 810.27

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Solution

The fourth proportional to 1,163.84, 1,606.10 and 810.27 is: 1,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.84 : 1,606.10 = 810.27 : x
  2. Step 2: Convert to fraction form
    1,163.84/1,606.10 = 810.27/x
  3. Step 3: Cross multiply
    1,163.84x = 1,606.10 × 810.27
  4. Step 4: Simplify right side
    1,163.84x = 1,301,370.60
  5. Step 5: Solve for x
    x = 1,301,370.60/1,163.84
  6. Step 6: Final answer
    x = 1,118.17

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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.