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Finding the Fourth Proportional to 978.77, 1,350.44 and 629.66

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Solution

The fourth proportional to 978.77, 1,350.44 and 629.66 is: 868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.77 : 1,350.44 = 629.66 : x
  2. Step 2: Convert to fraction form
    978.77/1,350.44 = 629.66/x
  3. Step 3: Cross multiply
    978.77x = 1,350.44 × 629.66
  4. Step 4: Simplify right side
    978.77x = 850,320.64
  5. Step 5: Solve for x
    x = 850,320.64/978.77
  6. Step 6: Final answer
    x = 868.76

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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.