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Finding the Fourth Proportional to 793.93, 1,095.16 and 498.69

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Solution

The fourth proportional to 793.93, 1,095.16 and 498.69 is: 687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.93 : 1,095.16 = 498.69 : x
  2. Step 2: Convert to fraction form
    793.93/1,095.16 = 498.69/x
  3. Step 3: Cross multiply
    793.93x = 1,095.16 × 498.69
  4. Step 4: Simplify right side
    793.93x = 546,145.34
  5. Step 5: Solve for x
    x = 546,145.34/793.93
  6. Step 6: Final answer
    x = 687.90

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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.