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Finding the Fourth Proportional to 736.18, 1,009.87 and 696.45

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Solution

The fourth proportional to 736.18, 1,009.87 and 696.45 is: 955.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.18 : 1,009.87 = 696.45 : x
  2. Step 2: Convert to fraction form
    736.18/1,009.87 = 696.45/x
  3. Step 3: Cross multiply
    736.18x = 1,009.87 × 696.45
  4. Step 4: Simplify right side
    736.18x = 703,323.96
  5. Step 5: Solve for x
    x = 703,323.96/736.18
  6. Step 6: Final answer
    x = 955.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.