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Finding the Fourth Proportional to 1,184.70, 1,776.84 and 318.81

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Solution

The fourth proportional to 1,184.70, 1,776.84 and 318.81 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.70 : 1,776.84 = 318.81 : x
  2. Step 2: Convert to fraction form
    1,184.70/1,776.84 = 318.81/x
  3. Step 3: Cross multiply
    1,184.70x = 1,776.84 × 318.81
  4. Step 4: Simplify right side
    1,184.70x = 566,474.36
  5. Step 5: Solve for x
    x = 566,474.36/1,184.70
  6. Step 6: Final answer
    x = 478.16

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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.