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Finding the Fourth Proportional to 1,158.69, 1,739.84 and 885.81

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Solution

The fourth proportional to 1,158.69, 1,739.84 and 885.81 is: 1,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.69 : 1,739.84 = 885.81 : x
  2. Step 2: Convert to fraction form
    1,158.69/1,739.84 = 885.81/x
  3. Step 3: Cross multiply
    1,158.69x = 1,739.84 × 885.81
  4. Step 4: Simplify right side
    1,158.69x = 1,541,163.24
  5. Step 5: Solve for x
    x = 1,541,163.24/1,158.69
  6. Step 6: Final answer
    x = 1,330.09

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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.