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Finding the Fourth Proportional to 940.13, 1,409.25 and 452.91

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Solution

The fourth proportional to 940.13, 1,409.25 and 452.91 is: 678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.13 : 1,409.25 = 452.91 : x
  2. Step 2: Convert to fraction form
    940.13/1,409.25 = 452.91/x
  3. Step 3: Cross multiply
    940.13x = 1,409.25 × 452.91
  4. Step 4: Simplify right side
    940.13x = 638,263.42
  5. Step 5: Solve for x
    x = 638,263.42/940.13
  6. Step 6: Final answer
    x = 678.91

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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.