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Finding the Fourth Proportional to 832.66, 1,148.23 and 645.82

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Solution

The fourth proportional to 832.66, 1,148.23 and 645.82 is: 890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.66 : 1,148.23 = 645.82 : x
  2. Step 2: Convert to fraction form
    832.66/1,148.23 = 645.82/x
  3. Step 3: Cross multiply
    832.66x = 1,148.23 × 645.82
  4. Step 4: Simplify right side
    832.66x = 741,549.90
  5. Step 5: Solve for x
    x = 741,549.90/832.66
  6. Step 6: Final answer
    x = 890.58

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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.