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Finding the Fourth Proportional to 648.82, 973.70 and 486.94

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Solution

The fourth proportional to 648.82, 973.70 and 486.94 is: 730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.82 : 973.70 = 486.94 : x
  2. Step 2: Convert to fraction form
    648.82/973.70 = 486.94/x
  3. Step 3: Cross multiply
    648.82x = 973.70 × 486.94
  4. Step 4: Simplify right side
    648.82x = 474,133.48
  5. Step 5: Solve for x
    x = 474,133.48/648.82
  6. Step 6: Final answer
    x = 730.76

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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.