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Finding the Fourth Proportional to 822.93, 1,234.27 and 302.81

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Solution

The fourth proportional to 822.93, 1,234.27 and 302.81 is: 454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.93 : 1,234.27 = 302.81 : x
  2. Step 2: Convert to fraction form
    822.93/1,234.27 = 302.81/x
  3. Step 3: Cross multiply
    822.93x = 1,234.27 × 302.81
  4. Step 4: Simplify right side
    822.93x = 373,741.80
  5. Step 5: Solve for x
    x = 373,741.80/822.93
  6. Step 6: Final answer
    x = 454.16

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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.