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Finding the Fourth Proportional to 984.05, 1,475.67 and 589.13

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Solution

The fourth proportional to 984.05, 1,475.67 and 589.13 is: 883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.05 : 1,475.67 = 589.13 : x
  2. Step 2: Convert to fraction form
    984.05/1,475.67 = 589.13/x
  3. Step 3: Cross multiply
    984.05x = 1,475.67 × 589.13
  4. Step 4: Simplify right side
    984.05x = 869,361.47
  5. Step 5: Solve for x
    x = 869,361.47/984.05
  6. Step 6: Final answer
    x = 883.45

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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.