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Finding the Fourth Proportional to 1,295.00, 1,942.22 and 417.58

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Solution

The fourth proportional to 1,295.00, 1,942.22 and 417.58 is: 626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.00 : 1,942.22 = 417.58 : x
  2. Step 2: Convert to fraction form
    1,295.00/1,942.22 = 417.58/x
  3. Step 3: Cross multiply
    1,295.00x = 1,942.22 × 417.58
  4. Step 4: Simplify right side
    1,295.00x = 811,028.42
  5. Step 5: Solve for x
    x = 811,028.42/1,295.00
  6. Step 6: Final answer
    x = 626.28

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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.