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Finding the Fourth Proportional to 840.70, 1,160.49 and 753.22

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Solution

The fourth proportional to 840.70, 1,160.49 and 753.22 is: 1,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.70 : 1,160.49 = 753.22 : x
  2. Step 2: Convert to fraction form
    840.70/1,160.49 = 753.22/x
  3. Step 3: Cross multiply
    840.70x = 1,160.49 × 753.22
  4. Step 4: Simplify right side
    840.70x = 874,104.28
  5. Step 5: Solve for x
    x = 874,104.28/840.70
  6. Step 6: Final answer
    x = 1,039.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.