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Finding the Fourth Proportional to 984.71, 1,473.69 and 777.53

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Solution

The fourth proportional to 984.71, 1,473.69 and 777.53 is: 1,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.71 : 1,473.69 = 777.53 : x
  2. Step 2: Convert to fraction form
    984.71/1,473.69 = 777.53/x
  3. Step 3: Cross multiply
    984.71x = 1,473.69 × 777.53
  4. Step 4: Simplify right side
    984.71x = 1,145,838.19
  5. Step 5: Solve for x
    x = 1,145,838.19/984.71
  6. Step 6: Final answer
    x = 1,163.63

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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.