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Finding the Fourth Proportional to 1,477.83, 2,216.79 and 828.06

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Solution

The fourth proportional to 1,477.83, 2,216.79 and 828.06 is: 1,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.83 : 2,216.79 = 828.06 : x
  2. Step 2: Convert to fraction form
    1,477.83/2,216.79 = 828.06/x
  3. Step 3: Cross multiply
    1,477.83x = 2,216.79 × 828.06
  4. Step 4: Simplify right side
    1,477.83x = 1,835,635.13
  5. Step 5: Solve for x
    x = 1,835,635.13/1,477.83
  6. Step 6: Final answer
    x = 1,242.12

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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.