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Finding the Fourth Proportional to 910.45, 1,365.27 and 559.11

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Solution

The fourth proportional to 910.45, 1,365.27 and 559.11 is: 838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.45 : 1,365.27 = 559.11 : x
  2. Step 2: Convert to fraction form
    910.45/1,365.27 = 559.11/x
  3. Step 3: Cross multiply
    910.45x = 1,365.27 × 559.11
  4. Step 4: Simplify right side
    910.45x = 763,336.11
  5. Step 5: Solve for x
    x = 763,336.11/910.45
  6. Step 6: Final answer
    x = 838.42

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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.