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Finding the Fourth Proportional to 849.67, 1,271.09 and 735.35

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Solution

The fourth proportional to 849.67, 1,271.09 and 735.35 is: 1,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.67 : 1,271.09 = 735.35 : x
  2. Step 2: Convert to fraction form
    849.67/1,271.09 = 735.35/x
  3. Step 3: Cross multiply
    849.67x = 1,271.09 × 735.35
  4. Step 4: Simplify right side
    849.67x = 934,691.51
  5. Step 5: Solve for x
    x = 934,691.51/849.67
  6. Step 6: Final answer
    x = 1,100.07

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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.