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Finding the Fourth Proportional to 1,288.97, 1,933.61 and 467.63

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Solution

The fourth proportional to 1,288.97, 1,933.61 and 467.63 is: 701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.97 : 1,933.61 = 467.63 : x
  2. Step 2: Convert to fraction form
    1,288.97/1,933.61 = 467.63/x
  3. Step 3: Cross multiply
    1,288.97x = 1,933.61 × 467.63
  4. Step 4: Simplify right side
    1,288.97x = 904,214.04
  5. Step 5: Solve for x
    x = 904,214.04/1,288.97
  6. Step 6: Final answer
    x = 701.50

Related Problems

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Half scale
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Double scale
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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.