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Finding the Fourth Proportional to 940.78, 1,411 and 355.84

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Solution

The fourth proportional to 940.78, 1,411 and 355.84 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.78 : 1,411 = 355.84 : x
  2. Step 2: Convert to fraction form
    940.78/1,411 = 355.84/x
  3. Step 3: Cross multiply
    940.78x = 1,411 × 355.84
  4. Step 4: Simplify right side
    940.78x = 502,090.24
  5. Step 5: Solve for x
    x = 502,090.24/940.78
  6. Step 6: Final answer
    x = 533.70

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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.