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Finding the Fourth Proportional to 1,156.90, 1,736.03 and 780.89

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Solution

The fourth proportional to 1,156.90, 1,736.03 and 780.89 is: 1,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.90 : 1,736.03 = 780.89 : x
  2. Step 2: Convert to fraction form
    1,156.90/1,736.03 = 780.89/x
  3. Step 3: Cross multiply
    1,156.90x = 1,736.03 × 780.89
  4. Step 4: Simplify right side
    1,156.90x = 1,355,654.76
  5. Step 5: Solve for x
    x = 1,355,654.76/1,156.90
  6. Step 6: Final answer
    x = 1,171.80

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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.