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Finding the Fourth Proportional to 806.21, 1,200.63 and 778.87

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Solution

The fourth proportional to 806.21, 1,200.63 and 778.87 is: 1,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.21 : 1,200.63 = 778.87 : x
  2. Step 2: Convert to fraction form
    806.21/1,200.63 = 778.87/x
  3. Step 3: Cross multiply
    806.21x = 1,200.63 × 778.87
  4. Step 4: Simplify right side
    806.21x = 935,124.79
  5. Step 5: Solve for x
    x = 935,124.79/806.21
  6. Step 6: Final answer
    x = 1,159.91

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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.