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Finding the Fourth Proportional to 790.07, 1,184.97 and 262.82

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Solution

The fourth proportional to 790.07, 1,184.97 and 262.82 is: 394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.07 : 1,184.97 = 262.82 : x
  2. Step 2: Convert to fraction form
    790.07/1,184.97 = 262.82/x
  3. Step 3: Cross multiply
    790.07x = 1,184.97 × 262.82
  4. Step 4: Simplify right side
    790.07x = 311,427.89
  5. Step 5: Solve for x
    x = 311,427.89/790.07
  6. Step 6: Final answer
    x = 394.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.