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Finding the Fourth Proportional to 738.38, 1,018.96 and 406.80

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Solution

The fourth proportional to 738.38, 1,018.96 and 406.80 is: 561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.38 : 1,018.96 = 406.80 : x
  2. Step 2: Convert to fraction form
    738.38/1,018.96 = 406.80/x
  3. Step 3: Cross multiply
    738.38x = 1,018.96 × 406.80
  4. Step 4: Simplify right side
    738.38x = 414,515.48
  5. Step 5: Solve for x
    x = 414,515.48/738.38
  6. Step 6: Final answer
    x = 561.39

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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.