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Finding the Fourth Proportional to 907.43, 1,355.96 and 761.63

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Solution

The fourth proportional to 907.43, 1,355.96 and 761.63 is: 1,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.43 : 1,355.96 = 761.63 : x
  2. Step 2: Convert to fraction form
    907.43/1,355.96 = 761.63/x
  3. Step 3: Cross multiply
    907.43x = 1,355.96 × 761.63
  4. Step 4: Simplify right side
    907.43x = 1,032,729.23
  5. Step 5: Solve for x
    x = 1,032,729.23/907.43
  6. Step 6: Final answer
    x = 1,138.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.