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Finding the Fourth Proportional to 757.40, 1,042.26 and 670.28

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Solution

The fourth proportional to 757.40, 1,042.26 and 670.28 is: 922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.40 : 1,042.26 = 670.28 : x
  2. Step 2: Convert to fraction form
    757.40/1,042.26 = 670.28/x
  3. Step 3: Cross multiply
    757.40x = 1,042.26 × 670.28
  4. Step 4: Simplify right side
    757.40x = 698,606.03
  5. Step 5: Solve for x
    x = 698,606.03/757.40
  6. Step 6: Final answer
    x = 922.37

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1.5x scale

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.