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Finding the Fourth Proportional to 1,488.57, 2,232.87 and 393.09

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Solution

The fourth proportional to 1,488.57, 2,232.87 and 393.09 is: 589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.57 : 2,232.87 = 393.09 : x
  2. Step 2: Convert to fraction form
    1,488.57/2,232.87 = 393.09/x
  3. Step 3: Cross multiply
    1,488.57x = 2,232.87 × 393.09
  4. Step 4: Simplify right side
    1,488.57x = 877,718.87
  5. Step 5: Solve for x
    x = 877,718.87/1,488.57
  6. Step 6: Final answer
    x = 589.64

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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.