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Finding the Fourth Proportional to 1,235.46, 1,705.02 and 738.09

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Solution

The fourth proportional to 1,235.46, 1,705.02 and 738.09 is: 1,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.46 : 1,705.02 = 738.09 : x
  2. Step 2: Convert to fraction form
    1,235.46/1,705.02 = 738.09/x
  3. Step 3: Cross multiply
    1,235.46x = 1,705.02 × 738.09
  4. Step 4: Simplify right side
    1,235.46x = 1,258,458.21
  5. Step 5: Solve for x
    x = 1,258,458.21/1,235.46
  6. Step 6: Final answer
    x = 1,018.62

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