Home / 1,005.40-1,506.45-966.95

Finding the Fourth Proportional to 1,005.40, 1,506.45 and 966.95

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Solution

The fourth proportional to 1,005.40, 1,506.45 and 966.95 is: 1,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.40 : 1,506.45 = 966.95 : x
  2. Step 2: Convert to fraction form
    1,005.40/1,506.45 = 966.95/x
  3. Step 3: Cross multiply
    1,005.40x = 1,506.45 × 966.95
  4. Step 4: Simplify right side
    1,005.40x = 1,456,668.08
  5. Step 5: Solve for x
    x = 1,456,668.08/1,005.40
  6. Step 6: Final answer
    x = 1,448.85

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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.