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Finding the Fourth Proportional to 918.79, 1,378.17 and 756.11

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Solution

The fourth proportional to 918.79, 1,378.17 and 756.11 is: 1,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.79 : 1,378.17 = 756.11 : x
  2. Step 2: Convert to fraction form
    918.79/1,378.17 = 756.11/x
  3. Step 3: Cross multiply
    918.79x = 1,378.17 × 756.11
  4. Step 4: Simplify right side
    918.79x = 1,042,051.56
  5. Step 5: Solve for x
    x = 1,042,051.56/918.79
  6. Step 6: Final answer
    x = 1,134.16

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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.