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Finding the Fourth Proportional to 803.48, 1,106.82 and 685.07

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Solution

The fourth proportional to 803.48, 1,106.82 and 685.07 is: 943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.48 : 1,106.82 = 685.07 : x
  2. Step 2: Convert to fraction form
    803.48/1,106.82 = 685.07/x
  3. Step 3: Cross multiply
    803.48x = 1,106.82 × 685.07
  4. Step 4: Simplify right side
    803.48x = 758,247.79
  5. Step 5: Solve for x
    x = 758,247.79/803.48
  6. Step 6: Final answer
    x = 943.70

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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.