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Finding the Fourth Proportional to 984.40, 1,475.05 and 464.28

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Solution

The fourth proportional to 984.40, 1,475.05 and 464.28 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.40 : 1,475.05 = 464.28 : x
  2. Step 2: Convert to fraction form
    984.40/1,475.05 = 464.28/x
  3. Step 3: Cross multiply
    984.40x = 1,475.05 × 464.28
  4. Step 4: Simplify right side
    984.40x = 684,836.21
  5. Step 5: Solve for x
    x = 684,836.21/984.40
  6. Step 6: Final answer
    x = 695.69

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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.