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Finding the Fourth Proportional to 905.90, 1,240.77 and 852.70

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Solution

The fourth proportional to 905.90, 1,240.77 and 852.70 is: 1,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.90 : 1,240.77 = 852.70 : x
  2. Step 2: Convert to fraction form
    905.90/1,240.77 = 852.70/x
  3. Step 3: Cross multiply
    905.90x = 1,240.77 × 852.70
  4. Step 4: Simplify right side
    905.90x = 1,058,011.91
  5. Step 5: Solve for x
    x = 1,058,011.91/905.90
  6. Step 6: Final answer
    x = 1,167.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.