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Finding the Fourth Proportional to 1,310.05, 1,964.89 and 488.21

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Solution

The fourth proportional to 1,310.05, 1,964.89 and 488.21 is: 732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.05 : 1,964.89 = 488.21 : x
  2. Step 2: Convert to fraction form
    1,310.05/1,964.89 = 488.21/x
  3. Step 3: Cross multiply
    1,310.05x = 1,964.89 × 488.21
  4. Step 4: Simplify right side
    1,310.05x = 959,282.64
  5. Step 5: Solve for x
    x = 959,282.64/1,310.05
  6. Step 6: Final answer
    x = 732.25

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1.5x scale

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.