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Finding the Fourth Proportional to 1,392.43, 2,088.57 and 352.42

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Solution

The fourth proportional to 1,392.43, 2,088.57 and 352.42 is: 528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.43 : 2,088.57 = 352.42 : x
  2. Step 2: Convert to fraction form
    1,392.43/2,088.57 = 352.42/x
  3. Step 3: Cross multiply
    1,392.43x = 2,088.57 × 352.42
  4. Step 4: Simplify right side
    1,392.43x = 736,053.84
  5. Step 5: Solve for x
    x = 736,053.84/1,392.43
  6. Step 6: Final answer
    x = 528.61

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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.