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Finding the Fourth Proportional to 839.61, 1,157.16 and 682.77

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Solution

The fourth proportional to 839.61, 1,157.16 and 682.77 is: 940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.61 : 1,157.16 = 682.77 : x
  2. Step 2: Convert to fraction form
    839.61/1,157.16 = 682.77/x
  3. Step 3: Cross multiply
    839.61x = 1,157.16 × 682.77
  4. Step 4: Simplify right side
    839.61x = 790,069.83
  5. Step 5: Solve for x
    x = 790,069.83/839.61
  6. Step 6: Final answer
    x = 940.99

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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.