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Finding the Fourth Proportional to 785.73, 1,176.75 and 623.52

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Solution

The fourth proportional to 785.73, 1,176.75 and 623.52 is: 933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.73 : 1,176.75 = 623.52 : x
  2. Step 2: Convert to fraction form
    785.73/1,176.75 = 623.52/x
  3. Step 3: Cross multiply
    785.73x = 1,176.75 × 623.52
  4. Step 4: Simplify right side
    785.73x = 733,727.16
  5. Step 5: Solve for x
    x = 733,727.16/785.73
  6. Step 6: Final answer
    x = 933.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.