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Finding the Fourth Proportional to 1,164.48, 1,607.09 and 869.23

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Solution

The fourth proportional to 1,164.48, 1,607.09 and 869.23 is: 1,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.48 : 1,607.09 = 869.23 : x
  2. Step 2: Convert to fraction form
    1,164.48/1,607.09 = 869.23/x
  3. Step 3: Cross multiply
    1,164.48x = 1,607.09 × 869.23
  4. Step 4: Simplify right side
    1,164.48x = 1,396,933.39
  5. Step 5: Solve for x
    x = 1,396,933.39/1,164.48
  6. Step 6: Final answer
    x = 1,199.62

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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.