Home / 1,614.30-2,421.40-460.05

Finding the Fourth Proportional to 1,614.30, 2,421.40 and 460.05

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Solution

The fourth proportional to 1,614.30, 2,421.40 and 460.05 is: 690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.30 : 2,421.40 = 460.05 : x
  2. Step 2: Convert to fraction form
    1,614.30/2,421.40 = 460.05/x
  3. Step 3: Cross multiply
    1,614.30x = 2,421.40 × 460.05
  4. Step 4: Simplify right side
    1,614.30x = 1,113,965.07
  5. Step 5: Solve for x
    x = 1,113,965.07/1,614.30
  6. Step 6: Final answer
    x = 690.06

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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.