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Finding the Fourth Proportional to 656.98, 983.17 and 397.11

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Solution

The fourth proportional to 656.98, 983.17 and 397.11 is: 594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.98 : 983.17 = 397.11 : x
  2. Step 2: Convert to fraction form
    656.98/983.17 = 397.11/x
  3. Step 3: Cross multiply
    656.98x = 983.17 × 397.11
  4. Step 4: Simplify right side
    656.98x = 390,426.64
  5. Step 5: Solve for x
    x = 390,426.64/656.98
  6. Step 6: Final answer
    x = 594.27

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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.