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Finding the Fourth Proportional to 864.12, 1,200.77 and 855.24

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Solution

The fourth proportional to 864.12, 1,200.77 and 855.24 is: 1,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.12 : 1,200.77 = 855.24 : x
  2. Step 2: Convert to fraction form
    864.12/1,200.77 = 855.24/x
  3. Step 3: Cross multiply
    864.12x = 1,200.77 × 855.24
  4. Step 4: Simplify right side
    864.12x = 1,026,946.53
  5. Step 5: Solve for x
    x = 1,026,946.53/864.12
  6. Step 6: Final answer
    x = 1,188.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.