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Finding the Fourth Proportional to 943.95, 1,416.80 and 482.06

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Solution

The fourth proportional to 943.95, 1,416.80 and 482.06 is: 723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.95 : 1,416.80 = 482.06 : x
  2. Step 2: Convert to fraction form
    943.95/1,416.80 = 482.06/x
  3. Step 3: Cross multiply
    943.95x = 1,416.80 × 482.06
  4. Step 4: Simplify right side
    943.95x = 682,982.61
  5. Step 5: Solve for x
    x = 682,982.61/943.95
  6. Step 6: Final answer
    x = 723.54

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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.