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Finding the Fourth Proportional to 940.50, 1,409.81 and 392.99

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Solution

The fourth proportional to 940.50, 1,409.81 and 392.99 is: 589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.50 : 1,409.81 = 392.99 : x
  2. Step 2: Convert to fraction form
    940.50/1,409.81 = 392.99/x
  3. Step 3: Cross multiply
    940.50x = 1,409.81 × 392.99
  4. Step 4: Simplify right side
    940.50x = 554,032.22
  5. Step 5: Solve for x
    x = 554,032.22/940.50
  6. Step 6: Final answer
    x = 589.08

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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.