Home / 1,615.20-2,422.08-460.68

Finding the Fourth Proportional to 1,615.20, 2,422.08 and 460.68

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Solution

The fourth proportional to 1,615.20, 2,422.08 and 460.68 is: 690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.20 : 2,422.08 = 460.68 : x
  2. Step 2: Convert to fraction form
    1,615.20/2,422.08 = 460.68/x
  3. Step 3: Cross multiply
    1,615.20x = 2,422.08 × 460.68
  4. Step 4: Simplify right side
    1,615.20x = 1,115,803.81
  5. Step 5: Solve for x
    x = 1,115,803.81/1,615.20
  6. Step 6: Final answer
    x = 690.81

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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.