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Finding the Fourth Proportional to 782.06, 1,173.36 and 349.52

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Solution

The fourth proportional to 782.06, 1,173.36 and 349.52 is: 524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.06 : 1,173.36 = 349.52 : x
  2. Step 2: Convert to fraction form
    782.06/1,173.36 = 349.52/x
  3. Step 3: Cross multiply
    782.06x = 1,173.36 × 349.52
  4. Step 4: Simplify right side
    782.06x = 410,112.79
  5. Step 5: Solve for x
    x = 410,112.79/782.06
  6. Step 6: Final answer
    x = 524.40

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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.