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Finding the Fourth Proportional to 742.09, 1,112.59 and 482.35

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Solution

The fourth proportional to 742.09, 1,112.59 and 482.35 is: 723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.09 : 1,112.59 = 482.35 : x
  2. Step 2: Convert to fraction form
    742.09/1,112.59 = 482.35/x
  3. Step 3: Cross multiply
    742.09x = 1,112.59 × 482.35
  4. Step 4: Simplify right side
    742.09x = 536,657.79
  5. Step 5: Solve for x
    x = 536,657.79/742.09
  6. Step 6: Final answer
    x = 723.17

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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.