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Finding the Fourth Proportional to 907.86, 1,359.14 and 821.38

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Solution

The fourth proportional to 907.86, 1,359.14 and 821.38 is: 1,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.86 : 1,359.14 = 821.38 : x
  2. Step 2: Convert to fraction form
    907.86/1,359.14 = 821.38/x
  3. Step 3: Cross multiply
    907.86x = 1,359.14 × 821.38
  4. Step 4: Simplify right side
    907.86x = 1,116,370.41
  5. Step 5: Solve for x
    x = 1,116,370.41/907.86
  6. Step 6: Final answer
    x = 1,229.67

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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.