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Finding the Fourth Proportional to 1,288.80, 1,933.20 and 467.10

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Solution

The fourth proportional to 1,288.80, 1,933.20 and 467.10 is: 700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.80 : 1,933.20 = 467.10 : x
  2. Step 2: Convert to fraction form
    1,288.80/1,933.20 = 467.10/x
  3. Step 3: Cross multiply
    1,288.80x = 1,933.20 × 467.10
  4. Step 4: Simplify right side
    1,288.80x = 902,997.72
  5. Step 5: Solve for x
    x = 902,997.72/1,288.80
  6. Step 6: Final answer
    x = 700.65

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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.