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Finding the Fourth Proportional to 740.94, 1,022.56 and 409.43

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Solution

The fourth proportional to 740.94, 1,022.56 and 409.43 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.94 : 1,022.56 = 409.43 : x
  2. Step 2: Convert to fraction form
    740.94/1,022.56 = 409.43/x
  3. Step 3: Cross multiply
    740.94x = 1,022.56 × 409.43
  4. Step 4: Simplify right side
    740.94x = 418,666.74
  5. Step 5: Solve for x
    x = 418,666.74/740.94
  6. Step 6: Final answer
    x = 565.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.