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Finding the Fourth Proportional to 940.78, 1,410.36 and 364.06

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Solution

The fourth proportional to 940.78, 1,410.36 and 364.06 is: 545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.78 : 1,410.36 = 364.06 : x
  2. Step 2: Convert to fraction form
    940.78/1,410.36 = 364.06/x
  3. Step 3: Cross multiply
    940.78x = 1,410.36 × 364.06
  4. Step 4: Simplify right side
    940.78x = 513,455.66
  5. Step 5: Solve for x
    x = 513,455.66/940.78
  6. Step 6: Final answer
    x = 545.78

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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.