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Finding the Fourth Proportional to 806.62, 1,200.40 and 777.46

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Solution

The fourth proportional to 806.62, 1,200.40 and 777.46 is: 1,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.62 : 1,200.40 = 777.46 : x
  2. Step 2: Convert to fraction form
    806.62/1,200.40 = 777.46/x
  3. Step 3: Cross multiply
    806.62x = 1,200.40 × 777.46
  4. Step 4: Simplify right side
    806.62x = 933,262.98
  5. Step 5: Solve for x
    x = 933,262.98/806.62
  6. Step 6: Final answer
    x = 1,157.00

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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.