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Finding the Fourth Proportional to 873.73, 1,315.78 and 788.05

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Solution

The fourth proportional to 873.73, 1,315.78 and 788.05 is: 1,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.73 : 1,315.78 = 788.05 : x
  2. Step 2: Convert to fraction form
    873.73/1,315.78 = 788.05/x
  3. Step 3: Cross multiply
    873.73x = 1,315.78 × 788.05
  4. Step 4: Simplify right side
    873.73x = 1,036,900.43
  5. Step 5: Solve for x
    x = 1,036,900.43/873.73
  6. Step 6: Final answer
    x = 1,186.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.