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Finding the Fourth Proportional to 907.94, 1,253.36 and 613.38

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Solution

The fourth proportional to 907.94, 1,253.36 and 613.38 is: 846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.94 : 1,253.36 = 613.38 : x
  2. Step 2: Convert to fraction form
    907.94/1,253.36 = 613.38/x
  3. Step 3: Cross multiply
    907.94x = 1,253.36 × 613.38
  4. Step 4: Simplify right side
    907.94x = 768,785.96
  5. Step 5: Solve for x
    x = 768,785.96/907.94
  6. Step 6: Final answer
    x = 846.74

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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.