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Finding the Fourth Proportional to 712.78, 983.64 and 418.24

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Solution

The fourth proportional to 712.78, 983.64 and 418.24 is: 577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.78 : 983.64 = 418.24 : x
  2. Step 2: Convert to fraction form
    712.78/983.64 = 418.24/x
  3. Step 3: Cross multiply
    712.78x = 983.64 × 418.24
  4. Step 4: Simplify right side
    712.78x = 411,397.59
  5. Step 5: Solve for x
    x = 411,397.59/712.78
  6. Step 6: Final answer
    x = 577.17

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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.