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Finding the Fourth Proportional to 1,290.32, 1,934.40 and 641.24

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Solution

The fourth proportional to 1,290.32, 1,934.40 and 641.24 is: 961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.32 : 1,934.40 = 641.24 : x
  2. Step 2: Convert to fraction form
    1,290.32/1,934.40 = 641.24/x
  3. Step 3: Cross multiply
    1,290.32x = 1,934.40 × 641.24
  4. Step 4: Simplify right side
    1,290.32x = 1,240,414.66
  5. Step 5: Solve for x
    x = 1,240,414.66/1,290.32
  6. Step 6: Final answer
    x = 961.32

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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.