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Finding the Fourth Proportional to 832.56, 1,147.59 and 666.51

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Solution

The fourth proportional to 832.56, 1,147.59 and 666.51 is: 918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.56 : 1,147.59 = 666.51 : x
  2. Step 2: Convert to fraction form
    832.56/1,147.59 = 666.51/x
  3. Step 3: Cross multiply
    832.56x = 1,147.59 × 666.51
  4. Step 4: Simplify right side
    832.56x = 764,880.21
  5. Step 5: Solve for x
    x = 764,880.21/832.56
  6. Step 6: Final answer
    x = 918.71

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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.