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Finding the Fourth Proportional to 842.93, 1,264.02 and 349.07

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Solution

The fourth proportional to 842.93, 1,264.02 and 349.07 is: 523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.93 : 1,264.02 = 349.07 : x
  2. Step 2: Convert to fraction form
    842.93/1,264.02 = 349.07/x
  3. Step 3: Cross multiply
    842.93x = 1,264.02 × 349.07
  4. Step 4: Simplify right side
    842.93x = 441,225.21
  5. Step 5: Solve for x
    x = 441,225.21/842.93
  6. Step 6: Final answer
    x = 523.44

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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.