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Finding the Fourth Proportional to 1,172.66, 1,759.90 and 710.96

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Solution

The fourth proportional to 1,172.66, 1,759.90 and 710.96 is: 1,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.66 : 1,759.90 = 710.96 : x
  2. Step 2: Convert to fraction form
    1,172.66/1,759.90 = 710.96/x
  3. Step 3: Cross multiply
    1,172.66x = 1,759.90 × 710.96
  4. Step 4: Simplify right side
    1,172.66x = 1,251,218.50
  5. Step 5: Solve for x
    x = 1,251,218.50/1,172.66
  6. Step 6: Final answer
    x = 1,066.99

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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.