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Finding the Fourth Proportional to 810.93, 1,209.82 and 694.02

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Solution

The fourth proportional to 810.93, 1,209.82 and 694.02 is: 1,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.93 : 1,209.82 = 694.02 : x
  2. Step 2: Convert to fraction form
    810.93/1,209.82 = 694.02/x
  3. Step 3: Cross multiply
    810.93x = 1,209.82 × 694.02
  4. Step 4: Simplify right side
    810.93x = 839,637.54
  5. Step 5: Solve for x
    x = 839,637.54/810.93
  6. Step 6: Final answer
    x = 1,035.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.