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Finding the Fourth Proportional to 976.93, 1,464.70 and 823.84

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Solution

The fourth proportional to 976.93, 1,464.70 and 823.84 is: 1,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.93 : 1,464.70 = 823.84 : x
  2. Step 2: Convert to fraction form
    976.93/1,464.70 = 823.84/x
  3. Step 3: Cross multiply
    976.93x = 1,464.70 × 823.84
  4. Step 4: Simplify right side
    976.93x = 1,206,674.27
  5. Step 5: Solve for x
    x = 1,206,674.27/976.93
  6. Step 6: Final answer
    x = 1,235.17

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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.