Home / 1,546.96-2,320.44-392.72

Finding the Fourth Proportional to 1,546.96, 2,320.44 and 392.72

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Solution

The fourth proportional to 1,546.96, 2,320.44 and 392.72 is: 589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.96 : 2,320.44 = 392.72 : x
  2. Step 2: Convert to fraction form
    1,546.96/2,320.44 = 392.72/x
  3. Step 3: Cross multiply
    1,546.96x = 2,320.44 × 392.72
  4. Step 4: Simplify right side
    1,546.96x = 911,283.20
  5. Step 5: Solve for x
    x = 911,283.20/1,546.96
  6. Step 6: Final answer
    x = 589.08

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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.