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Finding the Fourth Proportional to 656.76, 983.09 and 491.25

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Solution

The fourth proportional to 656.76, 983.09 and 491.25 is: 735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.76 : 983.09 = 491.25 : x
  2. Step 2: Convert to fraction form
    656.76/983.09 = 491.25/x
  3. Step 3: Cross multiply
    656.76x = 983.09 × 491.25
  4. Step 4: Simplify right side
    656.76x = 482,940.51
  5. Step 5: Solve for x
    x = 482,940.51/656.76
  6. Step 6: Final answer
    x = 735.34

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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.