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Finding the Fourth Proportional to 1,657.70, 2,496.21 and 1,225.70

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Solution

The fourth proportional to 1,657.70, 2,496.21 and 1,225.70 is: 1,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.70 : 2,496.21 = 1,225.70 : x
  2. Step 2: Convert to fraction form
    1,657.70/2,496.21 = 1,225.70/x
  3. Step 3: Cross multiply
    1,657.70x = 2,496.21 × 1,225.70
  4. Step 4: Simplify right side
    1,657.70x = 3,059,604.60
  5. Step 5: Solve for x
    x = 3,059,604.60/1,657.70
  6. Step 6: Final answer
    x = 1,845.69

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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 (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.