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Finding the Fourth Proportional to 984.70, 1,467.40 and 898.30

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Solution

The fourth proportional to 984.70, 1,467.40 and 898.30 is: 1,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.70 : 1,467.40 = 898.30 : x
  2. Step 2: Convert to fraction form
    984.70/1,467.40 = 898.30/x
  3. Step 3: Cross multiply
    984.70x = 1,467.40 × 898.30
  4. Step 4: Simplify right side
    984.70x = 1,318,165.42
  5. Step 5: Solve for x
    x = 1,318,165.42/984.70
  6. Step 6: Final answer
    x = 1,338.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.