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Finding the Fourth Proportional to 940.16, 1,409.87 and 392.06

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Solution

The fourth proportional to 940.16, 1,409.87 and 392.06 is: 587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.16 : 1,409.87 = 392.06 : x
  2. Step 2: Convert to fraction form
    940.16/1,409.87 = 392.06/x
  3. Step 3: Cross multiply
    940.16x = 1,409.87 × 392.06
  4. Step 4: Simplify right side
    940.16x = 552,758.14
  5. Step 5: Solve for x
    x = 552,758.14/940.16
  6. Step 6: Final answer
    x = 587.94

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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.