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Finding the Fourth Proportional to 1,133.25, 1,700.39 and 671.94

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Solution

The fourth proportional to 1,133.25, 1,700.39 and 671.94 is: 1,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.25 : 1,700.39 = 671.94 : x
  2. Step 2: Convert to fraction form
    1,133.25/1,700.39 = 671.94/x
  3. Step 3: Cross multiply
    1,133.25x = 1,700.39 × 671.94
  4. Step 4: Simplify right side
    1,133.25x = 1,142,560.06
  5. Step 5: Solve for x
    x = 1,142,560.06/1,133.25
  6. Step 6: Final answer
    x = 1,008.22

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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.