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Finding the Fourth Proportional to 977.36, 1,346.82 and 696.83

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Solution

The fourth proportional to 977.36, 1,346.82 and 696.83 is: 960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.36 : 1,346.82 = 696.83 : x
  2. Step 2: Convert to fraction form
    977.36/1,346.82 = 696.83/x
  3. Step 3: Cross multiply
    977.36x = 1,346.82 × 696.83
  4. Step 4: Simplify right side
    977.36x = 938,497.85
  5. Step 5: Solve for x
    x = 938,497.85/977.36
  6. Step 6: Final answer
    x = 960.24

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1.5x scale

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.