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Finding the Fourth Proportional to 926.26, 1,261.92 and 907.29

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Solution

The fourth proportional to 926.26, 1,261.92 and 907.29 is: 1,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.26 : 1,261.92 = 907.29 : x
  2. Step 2: Convert to fraction form
    926.26/1,261.92 = 907.29/x
  3. Step 3: Cross multiply
    926.26x = 1,261.92 × 907.29
  4. Step 4: Simplify right side
    926.26x = 1,144,927.40
  5. Step 5: Solve for x
    x = 1,144,927.40/926.26
  6. Step 6: Final answer
    x = 1,236.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.