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Finding the Fourth Proportional to 985.00, 1,473.66 and 777.41

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Solution

The fourth proportional to 985.00, 1,473.66 and 777.41 is: 1,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.00 : 1,473.66 = 777.41 : x
  2. Step 2: Convert to fraction form
    985.00/1,473.66 = 777.41/x
  3. Step 3: Cross multiply
    985.00x = 1,473.66 × 777.41
  4. Step 4: Simplify right side
    985.00x = 1,145,639.89
  5. Step 5: Solve for x
    x = 1,145,639.89/985.00
  6. Step 6: Final answer
    x = 1,163.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.