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Finding the Fourth Proportional to 803.96, 1,106.74 and 697.58

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Solution

The fourth proportional to 803.96, 1,106.74 and 697.58 is: 960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.96 : 1,106.74 = 697.58 : x
  2. Step 2: Convert to fraction form
    803.96/1,106.74 = 697.58/x
  3. Step 3: Cross multiply
    803.96x = 1,106.74 × 697.58
  4. Step 4: Simplify right side
    803.96x = 772,039.69
  5. Step 5: Solve for x
    x = 772,039.69/803.96
  6. Step 6: Final answer
    x = 960.30

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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.