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Finding the Fourth Proportional to 984.79, 1,477.31 and 568.53

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Solution

The fourth proportional to 984.79, 1,477.31 and 568.53 is: 852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.79 : 1,477.31 = 568.53 : x
  2. Step 2: Convert to fraction form
    984.79/1,477.31 = 568.53/x
  3. Step 3: Cross multiply
    984.79x = 1,477.31 × 568.53
  4. Step 4: Simplify right side
    984.79x = 839,895.05
  5. Step 5: Solve for x
    x = 839,895.05/984.79
  6. Step 6: Final answer
    x = 852.87

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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.