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Finding the Fourth Proportional to 851.32, 1,175.34 and 686.49

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Solution

The fourth proportional to 851.32, 1,175.34 and 686.49 is: 947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.32 : 1,175.34 = 686.49 : x
  2. Step 2: Convert to fraction form
    851.32/1,175.34 = 686.49/x
  3. Step 3: Cross multiply
    851.32x = 1,175.34 × 686.49
  4. Step 4: Simplify right side
    851.32x = 806,859.16
  5. Step 5: Solve for x
    x = 806,859.16/851.32
  6. Step 6: Final answer
    x = 947.77

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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.