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Finding the Fourth Proportional to 1,133.26, 1,693.84 and 985.82

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Solution

The fourth proportional to 1,133.26, 1,693.84 and 985.82 is: 1,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.26 : 1,693.84 = 985.82 : x
  2. Step 2: Convert to fraction form
    1,133.26/1,693.84 = 985.82/x
  3. Step 3: Cross multiply
    1,133.26x = 1,693.84 × 985.82
  4. Step 4: Simplify right side
    1,133.26x = 1,669,821.35
  5. Step 5: Solve for x
    x = 1,669,821.35/1,133.26
  6. Step 6: Final answer
    x = 1,473.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.