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Finding the Fourth Proportional to 863.32, 1,288.35 and 771.05

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Solution

The fourth proportional to 863.32, 1,288.35 and 771.05 is: 1,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.32 : 1,288.35 = 771.05 : x
  2. Step 2: Convert to fraction form
    863.32/1,288.35 = 771.05/x
  3. Step 3: Cross multiply
    863.32x = 1,288.35 × 771.05
  4. Step 4: Simplify right side
    863.32x = 993,385.49
  5. Step 5: Solve for x
    x = 993,385.49/863.32
  6. Step 6: Final answer
    x = 1,150.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.