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Finding the Fourth Proportional to 910.31, 1,365.53 and 423.09

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Solution

The fourth proportional to 910.31, 1,365.53 and 423.09 is: 634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.31 : 1,365.53 = 423.09 : x
  2. Step 2: Convert to fraction form
    910.31/1,365.53 = 423.09/x
  3. Step 3: Cross multiply
    910.31x = 1,365.53 × 423.09
  4. Step 4: Simplify right side
    910.31x = 577,739.97
  5. Step 5: Solve for x
    x = 577,739.97/910.31
  6. Step 6: Final answer
    x = 634.67

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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.