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Finding the Fourth Proportional to 907.22, 1,253.64 and 685.79

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Solution

The fourth proportional to 907.22, 1,253.64 and 685.79 is: 947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.22 : 1,253.64 = 685.79 : x
  2. Step 2: Convert to fraction form
    907.22/1,253.64 = 685.79/x
  3. Step 3: Cross multiply
    907.22x = 1,253.64 × 685.79
  4. Step 4: Simplify right side
    907.22x = 859,733.78
  5. Step 5: Solve for x
    x = 859,733.78/907.22
  6. Step 6: Final answer
    x = 947.66

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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.