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Finding the Fourth Proportional to 1,282.75, 1,923.93 and 461.05

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Solution

The fourth proportional to 1,282.75, 1,923.93 and 461.05 is: 691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.75 : 1,923.93 = 461.05 : x
  2. Step 2: Convert to fraction form
    1,282.75/1,923.93 = 461.05/x
  3. Step 3: Cross multiply
    1,282.75x = 1,923.93 × 461.05
  4. Step 4: Simplify right side
    1,282.75x = 887,027.93
  5. Step 5: Solve for x
    x = 887,027.93/1,282.75
  6. Step 6: Final answer
    x = 691.50

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Half scale
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Double scale
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1.5x scale

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.