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Finding the Fourth Proportional to 910.76, 1,365.06 and 422.78

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Solution

The fourth proportional to 910.76, 1,365.06 and 422.78 is: 633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.76 : 1,365.06 = 422.78 : x
  2. Step 2: Convert to fraction form
    910.76/1,365.06 = 422.78/x
  3. Step 3: Cross multiply
    910.76x = 1,365.06 × 422.78
  4. Step 4: Simplify right side
    910.76x = 577,123.48
  5. Step 5: Solve for x
    x = 577,123.48/910.76
  6. Step 6: Final answer
    x = 633.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.