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Finding the Fourth Proportional to 910.45, 1,365.18 and 423.07

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Solution

The fourth proportional to 910.45, 1,365.18 and 423.07 is: 634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.45 : 1,365.18 = 423.07 : x
  2. Step 2: Convert to fraction form
    910.45/1,365.18 = 423.07/x
  3. Step 3: Cross multiply
    910.45x = 1,365.18 × 423.07
  4. Step 4: Simplify right side
    910.45x = 577,566.70
  5. Step 5: Solve for x
    x = 577,566.70/910.45
  6. Step 6: Final answer
    x = 634.37

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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.