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Finding the Fourth Proportional to 713.05, 983.78 and 418.21

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Solution

The fourth proportional to 713.05, 983.78 and 418.21 is: 577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.05 : 983.78 = 418.21 : x
  2. Step 2: Convert to fraction form
    713.05/983.78 = 418.21/x
  3. Step 3: Cross multiply
    713.05x = 983.78 × 418.21
  4. Step 4: Simplify right side
    713.05x = 411,426.63
  5. Step 5: Solve for x
    x = 411,426.63/713.05
  6. Step 6: Final answer
    x = 577.00

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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.