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Finding the Fourth Proportional to 2,218.47, 3,327.74 and 574.91

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Solution

The fourth proportional to 2,218.47, 3,327.74 and 574.91 is: 862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.47 : 3,327.74 = 574.91 : x
  2. Step 2: Convert to fraction form
    2,218.47/3,327.74 = 574.91/x
  3. Step 3: Cross multiply
    2,218.47x = 3,327.74 × 574.91
  4. Step 4: Simplify right side
    2,218.47x = 1,913,131.49
  5. Step 5: Solve for x
    x = 1,913,131.49/2,218.47
  6. Step 6: Final answer
    x = 862.37

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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.