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Finding the Fourth Proportional to 910.16, 1,365.02 and 422.74

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Solution

The fourth proportional to 910.16, 1,365.02 and 422.74 is: 634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.16 : 1,365.02 = 422.74 : x
  2. Step 2: Convert to fraction form
    910.16/1,365.02 = 422.74/x
  3. Step 3: Cross multiply
    910.16x = 1,365.02 × 422.74
  4. Step 4: Simplify right side
    910.16x = 577,048.55
  5. Step 5: Solve for x
    x = 577,048.55/910.16
  6. Step 6: Final answer
    x = 634.01

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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.