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Finding the Fourth Proportional to 907.31, 1,249.75 and 846.83

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Solution

The fourth proportional to 907.31, 1,249.75 and 846.83 is: 1,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.31 : 1,249.75 = 846.83 : x
  2. Step 2: Convert to fraction form
    907.31/1,249.75 = 846.83/x
  3. Step 3: Cross multiply
    907.31x = 1,249.75 × 846.83
  4. Step 4: Simplify right side
    907.31x = 1,058,325.79
  5. Step 5: Solve for x
    x = 1,058,325.79/907.31
  6. Step 6: Final answer
    x = 1,166.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.