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Finding the Fourth Proportional to 1,160.75, 1,740.89 and 967.01

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Solution

The fourth proportional to 1,160.75, 1,740.89 and 967.01 is: 1,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.75 : 1,740.89 = 967.01 : x
  2. Step 2: Convert to fraction form
    1,160.75/1,740.89 = 967.01/x
  3. Step 3: Cross multiply
    1,160.75x = 1,740.89 × 967.01
  4. Step 4: Simplify right side
    1,160.75x = 1,683,451.75
  5. Step 5: Solve for x
    x = 1,683,451.75/1,160.75
  6. Step 6: Final answer
    x = 1,450.31

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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.