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Finding the Fourth Proportional to 873.93, 1,203.66 and 808.23

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Solution

The fourth proportional to 873.93, 1,203.66 and 808.23 is: 1,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.93 : 1,203.66 = 808.23 : x
  2. Step 2: Convert to fraction form
    873.93/1,203.66 = 808.23/x
  3. Step 3: Cross multiply
    873.93x = 1,203.66 × 808.23
  4. Step 4: Simplify right side
    873.93x = 972,834.12
  5. Step 5: Solve for x
    x = 972,834.12/873.93
  6. Step 6: Final answer
    x = 1,113.17

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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.