Home / 1,531.95-2,297.91-492.06

Finding the Fourth Proportional to 1,531.95, 2,297.91 and 492.06

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Solution

The fourth proportional to 1,531.95, 2,297.91 and 492.06 is: 738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.95 : 2,297.91 = 492.06 : x
  2. Step 2: Convert to fraction form
    1,531.95/2,297.91 = 492.06/x
  3. Step 3: Cross multiply
    1,531.95x = 2,297.91 × 492.06
  4. Step 4: Simplify right side
    1,531.95x = 1,130,709.59
  5. Step 5: Solve for x
    x = 1,130,709.59/1,531.95
  6. Step 6: Final answer
    x = 738.09

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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.