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Finding the Fourth Proportional to 1,098.83, 1,647.83 and 318.58

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Solution

The fourth proportional to 1,098.83, 1,647.83 and 318.58 is: 477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.83 : 1,647.83 = 318.58 : x
  2. Step 2: Convert to fraction form
    1,098.83/1,647.83 = 318.58/x
  3. Step 3: Cross multiply
    1,098.83x = 1,647.83 × 318.58
  4. Step 4: Simplify right side
    1,098.83x = 524,962.36
  5. Step 5: Solve for x
    x = 524,962.36/1,098.83
  6. Step 6: Final answer
    x = 477.75

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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.