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Finding the Fourth Proportional to 1,013.40, 1,509.45 and 966

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Solution

The fourth proportional to 1,013.40, 1,509.45 and 966 is: 1,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.40 : 1,509.45 = 966 : x
  2. Step 2: Convert to fraction form
    1,013.40/1,509.45 = 966/x
  3. Step 3: Cross multiply
    1,013.40x = 1,509.45 × 966
  4. Step 4: Simplify right side
    1,013.40x = 1,458,128.70
  5. Step 5: Solve for x
    x = 1,458,128.70/1,013.40
  6. Step 6: Final answer
    x = 1,438.85

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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.