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Finding the Fourth Proportional to 864.33, 1,289.10 and 735.18

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Solution

The fourth proportional to 864.33, 1,289.10 and 735.18 is: 1,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.33 : 1,289.10 = 735.18 : x
  2. Step 2: Convert to fraction form
    864.33/1,289.10 = 735.18/x
  3. Step 3: Cross multiply
    864.33x = 1,289.10 × 735.18
  4. Step 4: Simplify right side
    864.33x = 947,720.54
  5. Step 5: Solve for x
    x = 947,720.54/864.33
  6. Step 6: Final answer
    x = 1,096.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.