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Finding the Fourth Proportional to 907.90, 1,367.91 and 821.34

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Solution

The fourth proportional to 907.90, 1,367.91 and 821.34 is: 1,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.90 : 1,367.91 = 821.34 : x
  2. Step 2: Convert to fraction form
    907.90/1,367.91 = 821.34/x
  3. Step 3: Cross multiply
    907.90x = 1,367.91 × 821.34
  4. Step 4: Simplify right side
    907.90x = 1,123,519.20
  5. Step 5: Solve for x
    x = 1,123,519.20/907.90
  6. Step 6: Final answer
    x = 1,237.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.