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Finding the Fourth Proportional to 738.34, 1,018.64 and 443.70

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Solution

The fourth proportional to 738.34, 1,018.64 and 443.70 is: 612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.34 : 1,018.64 = 443.70 : x
  2. Step 2: Convert to fraction form
    738.34/1,018.64 = 443.70/x
  3. Step 3: Cross multiply
    738.34x = 1,018.64 × 443.70
  4. Step 4: Simplify right side
    738.34x = 451,971.68
  5. Step 5: Solve for x
    x = 451,971.68/738.34
  6. Step 6: Final answer
    x = 612.15

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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.