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Finding the Fourth Proportional to 832.07, 1,148.01 and 482.69

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Solution

The fourth proportional to 832.07, 1,148.01 and 482.69 is: 665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.07 : 1,148.01 = 482.69 : x
  2. Step 2: Convert to fraction form
    832.07/1,148.01 = 482.69/x
  3. Step 3: Cross multiply
    832.07x = 1,148.01 × 482.69
  4. Step 4: Simplify right side
    832.07x = 554,134.01
  5. Step 5: Solve for x
    x = 554,134.01/832.07
  6. Step 6: Final answer
    x = 665.97

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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.