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Finding the Fourth Proportional to 2,630.79, 3,946.19 and 683.01

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Solution

The fourth proportional to 2,630.79, 3,946.19 and 683.01 is: 1,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.79 : 3,946.19 = 683.01 : x
  2. Step 2: Convert to fraction form
    2,630.79/3,946.19 = 683.01/x
  3. Step 3: Cross multiply
    2,630.79x = 3,946.19 × 683.01
  4. Step 4: Simplify right side
    2,630.79x = 2,695,287.23
  5. Step 5: Solve for x
    x = 2,695,287.23/2,630.79
  6. Step 6: Final answer
    x = 1,024.52

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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.