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Finding the Fourth Proportional to 793.79, 1,095.18 and 462.09

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Solution

The fourth proportional to 793.79, 1,095.18 and 462.09 is: 637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.79 : 1,095.18 = 462.09 : x
  2. Step 2: Convert to fraction form
    793.79/1,095.18 = 462.09/x
  3. Step 3: Cross multiply
    793.79x = 1,095.18 × 462.09
  4. Step 4: Simplify right side
    793.79x = 506,071.73
  5. Step 5: Solve for x
    x = 506,071.73/793.79
  6. Step 6: Final answer
    x = 637.54

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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.