Home / 1,664.95-2,496.90-494.67

Finding the Fourth Proportional to 1,664.95, 2,496.90 and 494.67

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Solution

The fourth proportional to 1,664.95, 2,496.90 and 494.67 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.95 : 2,496.90 = 494.67 : x
  2. Step 2: Convert to fraction form
    1,664.95/2,496.90 = 494.67/x
  3. Step 3: Cross multiply
    1,664.95x = 2,496.90 × 494.67
  4. Step 4: Simplify right side
    1,664.95x = 1,235,141.52
  5. Step 5: Solve for x
    x = 1,235,141.52/1,664.95
  6. Step 6: Final answer
    x = 741.85

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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.