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Finding the Fourth Proportional to 918.45, 1,266.03 and 696.51

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Solution

The fourth proportional to 918.45, 1,266.03 and 696.51 is: 960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.45 : 1,266.03 = 696.51 : x
  2. Step 2: Convert to fraction form
    918.45/1,266.03 = 696.51/x
  3. Step 3: Cross multiply
    918.45x = 1,266.03 × 696.51
  4. Step 4: Simplify right side
    918.45x = 881,802.56
  5. Step 5: Solve for x
    x = 881,802.56/918.45
  6. Step 6: Final answer
    x = 960.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.