Home / 1,614.04-2,421.12-459.82

Finding the Fourth Proportional to 1,614.04, 2,421.12 and 459.82

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Solution

The fourth proportional to 1,614.04, 2,421.12 and 459.82 is: 689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.04 : 2,421.12 = 459.82 : x
  2. Step 2: Convert to fraction form
    1,614.04/2,421.12 = 459.82/x
  3. Step 3: Cross multiply
    1,614.04x = 2,421.12 × 459.82
  4. Step 4: Simplify right side
    1,614.04x = 1,113,279.40
  5. Step 5: Solve for x
    x = 1,113,279.40/1,614.04
  6. Step 6: Final answer
    x = 689.75

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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.