Home / 1,282.34-1,923.85-460.70

Finding the Fourth Proportional to 1,282.34, 1,923.85 and 460.70

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Solution

The fourth proportional to 1,282.34, 1,923.85 and 460.70 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.34 : 1,923.85 = 460.70 : x
  2. Step 2: Convert to fraction form
    1,282.34/1,923.85 = 460.70/x
  3. Step 3: Cross multiply
    1,282.34x = 1,923.85 × 460.70
  4. Step 4: Simplify right side
    1,282.34x = 886,317.70
  5. Step 5: Solve for x
    x = 886,317.70/1,282.34
  6. Step 6: Final answer
    x = 691.17

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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.