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Finding the Fourth Proportional to 792.91, 1,095.12 and 646.30

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Solution

The fourth proportional to 792.91, 1,095.12 and 646.30 is: 892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.91 : 1,095.12 = 646.30 : x
  2. Step 2: Convert to fraction form
    792.91/1,095.12 = 646.30/x
  3. Step 3: Cross multiply
    792.91x = 1,095.12 × 646.30
  4. Step 4: Simplify right side
    792.91x = 707,776.06
  5. Step 5: Solve for x
    x = 707,776.06/792.91
  6. Step 6: Final answer
    x = 892.63

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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.