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Finding the Fourth Proportional to 1,283.10, 1,924.61 and 461.42

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Solution

The fourth proportional to 1,283.10, 1,924.61 and 461.42 is: 692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.10 : 1,924.61 = 461.42 : x
  2. Step 2: Convert to fraction form
    1,283.10/1,924.61 = 461.42/x
  3. Step 3: Cross multiply
    1,283.10x = 1,924.61 × 461.42
  4. Step 4: Simplify right side
    1,283.10x = 888,053.55
  5. Step 5: Solve for x
    x = 888,053.55/1,283.10
  6. Step 6: Final answer
    x = 692.12

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Half scale
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Double scale
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Similar ratio
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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.