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Finding the Fourth Proportional to 851.95, 1,176.50 and 805.93

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Solution

The fourth proportional to 851.95, 1,176.50 and 805.93 is: 1,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.95 : 1,176.50 = 805.93 : x
  2. Step 2: Convert to fraction form
    851.95/1,176.50 = 805.93/x
  3. Step 3: Cross multiply
    851.95x = 1,176.50 × 805.93
  4. Step 4: Simplify right side
    851.95x = 948,176.65
  5. Step 5: Solve for x
    x = 948,176.65/851.95
  6. Step 6: Final answer
    x = 1,112.95

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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.