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Finding the Fourth Proportional to 738.22, 1,018.80 and 427.78

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Solution

The fourth proportional to 738.22, 1,018.80 and 427.78 is: 590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.22 : 1,018.80 = 427.78 : x
  2. Step 2: Convert to fraction form
    738.22/1,018.80 = 427.78/x
  3. Step 3: Cross multiply
    738.22x = 1,018.80 × 427.78
  4. Step 4: Simplify right side
    738.22x = 435,822.26
  5. Step 5: Solve for x
    x = 435,822.26/738.22
  6. Step 6: Final answer
    x = 590.37

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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.