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Finding the Fourth Proportional to 1,160.90, 1,742.03 and 784.89

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Solution

The fourth proportional to 1,160.90, 1,742.03 and 784.89 is: 1,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.90 : 1,742.03 = 784.89 : x
  2. Step 2: Convert to fraction form
    1,160.90/1,742.03 = 784.89/x
  3. Step 3: Cross multiply
    1,160.90x = 1,742.03 × 784.89
  4. Step 4: Simplify right side
    1,160.90x = 1,367,301.93
  5. Step 5: Solve for x
    x = 1,367,301.93/1,160.90
  6. Step 6: Final answer
    x = 1,177.79

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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.