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Finding the Fourth Proportional to 3,055.77, 4,584.05 and 864.67

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Solution

The fourth proportional to 3,055.77, 4,584.05 and 864.67 is: 1,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.77 : 4,584.05 = 864.67 : x
  2. Step 2: Convert to fraction form
    3,055.77/4,584.05 = 864.67/x
  3. Step 3: Cross multiply
    3,055.77x = 4,584.05 × 864.67
  4. Step 4: Simplify right side
    3,055.77x = 3,963,690.51
  5. Step 5: Solve for x
    x = 3,963,690.51/3,055.77
  6. Step 6: Final answer
    x = 1,297.12

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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.