Home / 1,546.39-2,319.60-392.14

Finding the Fourth Proportional to 1,546.39, 2,319.60 and 392.14

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Solution

The fourth proportional to 1,546.39, 2,319.60 and 392.14 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.39 : 2,319.60 = 392.14 : x
  2. Step 2: Convert to fraction form
    1,546.39/2,319.60 = 392.14/x
  3. Step 3: Cross multiply
    1,546.39x = 2,319.60 × 392.14
  4. Step 4: Simplify right side
    1,546.39x = 909,607.94
  5. Step 5: Solve for x
    x = 909,607.94/1,546.39
  6. Step 6: Final answer
    x = 588.21

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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.