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Finding the Fourth Proportional to 738.62, 1,018.68 and 634.70

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Solution

The fourth proportional to 738.62, 1,018.68 and 634.70 is: 875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.62 : 1,018.68 = 634.70 : x
  2. Step 2: Convert to fraction form
    738.62/1,018.68 = 634.70/x
  3. Step 3: Cross multiply
    738.62x = 1,018.68 × 634.70
  4. Step 4: Simplify right side
    738.62x = 646,556.20
  5. Step 5: Solve for x
    x = 646,556.20/738.62
  6. Step 6: Final answer
    x = 875.36

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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.