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Finding the Fourth Proportional to 866.32, 1,194.92 and 692.08

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Solution

The fourth proportional to 866.32, 1,194.92 and 692.08 is: 954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.32 : 1,194.92 = 692.08 : x
  2. Step 2: Convert to fraction form
    866.32/1,194.92 = 692.08/x
  3. Step 3: Cross multiply
    866.32x = 1,194.92 × 692.08
  4. Step 4: Simplify right side
    866.32x = 826,980.23
  5. Step 5: Solve for x
    x = 826,980.23/866.32
  6. Step 6: Final answer
    x = 954.59

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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.