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Finding the Fourth Proportional to 910.64, 1,365.96 and 423.12

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Solution

The fourth proportional to 910.64, 1,365.96 and 423.12 is: 634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.64 : 1,365.96 = 423.12 : x
  2. Step 2: Convert to fraction form
    910.64/1,365.96 = 423.12/x
  3. Step 3: Cross multiply
    910.64x = 1,365.96 × 423.12
  4. Step 4: Simplify right side
    910.64x = 577,971.70
  5. Step 5: Solve for x
    x = 577,971.70/910.64
  6. Step 6: Final answer
    x = 634.69

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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.