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Finding the Fourth Proportional to 940.05, 1,410.93 and 478.14

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Solution

The fourth proportional to 940.05, 1,410.93 and 478.14 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.05 : 1,410.93 = 478.14 : x
  2. Step 2: Convert to fraction form
    940.05/1,410.93 = 478.14/x
  3. Step 3: Cross multiply
    940.05x = 1,410.93 × 478.14
  4. Step 4: Simplify right side
    940.05x = 674,622.07
  5. Step 5: Solve for x
    x = 674,622.07/940.05
  6. Step 6: Final answer
    x = 717.64

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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.