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Finding the Fourth Proportional to 1,614.56, 2,421.88 and 460.31

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Solution

The fourth proportional to 1,614.56, 2,421.88 and 460.31 is: 690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.56 : 2,421.88 = 460.31 : x
  2. Step 2: Convert to fraction form
    1,614.56/2,421.88 = 460.31/x
  3. Step 3: Cross multiply
    1,614.56x = 2,421.88 × 460.31
  4. Step 4: Simplify right side
    1,614.56x = 1,114,820.49
  5. Step 5: Solve for x
    x = 1,114,820.49/1,614.56
  6. Step 6: Final answer
    x = 690.48

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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.