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Finding the Fourth Proportional to 794.17, 1,095.78 and 462.43

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Solution

The fourth proportional to 794.17, 1,095.78 and 462.43 is: 638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.17 : 1,095.78 = 462.43 : x
  2. Step 2: Convert to fraction form
    794.17/1,095.78 = 462.43/x
  3. Step 3: Cross multiply
    794.17x = 1,095.78 × 462.43
  4. Step 4: Simplify right side
    794.17x = 506,721.55
  5. Step 5: Solve for x
    x = 506,721.55/794.17
  6. Step 6: Final answer
    x = 638.05

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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.