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Finding the Fourth Proportional to 665.84, 1,004.90 and 648.56

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Solution

The fourth proportional to 665.84, 1,004.90 and 648.56 is: 978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 1,004.90 = 648.56 : x
  2. Step 2: Convert to fraction form
    665.84/1,004.90 = 648.56/x
  3. Step 3: Cross multiply
    665.84x = 1,004.90 × 648.56
  4. Step 4: Simplify right side
    665.84x = 651,737.94
  5. Step 5: Solve for x
    x = 651,737.94/665.84
  6. Step 6: Final answer
    x = 978.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.