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Finding the Fourth Proportional to 984.07, 1,475.04 and 463.75

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Solution

The fourth proportional to 984.07, 1,475.04 and 463.75 is: 695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.07 : 1,475.04 = 463.75 : x
  2. Step 2: Convert to fraction form
    984.07/1,475.04 = 463.75/x
  3. Step 3: Cross multiply
    984.07x = 1,475.04 × 463.75
  4. Step 4: Simplify right side
    984.07x = 684,049.80
  5. Step 5: Solve for x
    x = 684,049.80/984.07
  6. Step 6: Final answer
    x = 695.12

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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.