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Finding the Fourth Proportional to 804.74, 1,108.29 and 694.16

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Solution

The fourth proportional to 804.74, 1,108.29 and 694.16 is: 956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.74 : 1,108.29 = 694.16 : x
  2. Step 2: Convert to fraction form
    804.74/1,108.29 = 694.16/x
  3. Step 3: Cross multiply
    804.74x = 1,108.29 × 694.16
  4. Step 4: Simplify right side
    804.74x = 769,330.59
  5. Step 5: Solve for x
    x = 769,330.59/804.74
  6. Step 6: Final answer
    x = 956.00

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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.