Home / 1,282.40-1,923.64-460.72

Finding the Fourth Proportional to 1,282.40, 1,923.64 and 460.72

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Solution

The fourth proportional to 1,282.40, 1,923.64 and 460.72 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.40 : 1,923.64 = 460.72 : x
  2. Step 2: Convert to fraction form
    1,282.40/1,923.64 = 460.72/x
  3. Step 3: Cross multiply
    1,282.40x = 1,923.64 × 460.72
  4. Step 4: Simplify right side
    1,282.40x = 886,259.42
  5. Step 5: Solve for x
    x = 886,259.42/1,282.40
  6. Step 6: Final answer
    x = 691.09

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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.