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Finding the Fourth Proportional to 763.66, 1,152.37 and 736.54

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Solution

The fourth proportional to 763.66, 1,152.37 and 736.54 is: 1,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.66 : 1,152.37 = 736.54 : x
  2. Step 2: Convert to fraction form
    763.66/1,152.37 = 736.54/x
  3. Step 3: Cross multiply
    763.66x = 1,152.37 × 736.54
  4. Step 4: Simplify right side
    763.66x = 848,766.60
  5. Step 5: Solve for x
    x = 848,766.60/763.66
  6. Step 6: Final answer
    x = 1,111.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.