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Finding the Fourth Proportional to 902.07, 1,353.10 and 696.94

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Solution

The fourth proportional to 902.07, 1,353.10 and 696.94 is: 1,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.07 : 1,353.10 = 696.94 : x
  2. Step 2: Convert to fraction form
    902.07/1,353.10 = 696.94/x
  3. Step 3: Cross multiply
    902.07x = 1,353.10 × 696.94
  4. Step 4: Simplify right side
    902.07x = 943,029.51
  5. Step 5: Solve for x
    x = 943,029.51/902.07
  6. Step 6: Final answer
    x = 1,045.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.