Home / 1,513.22-2,269.83-417.59

Finding the Fourth Proportional to 1,513.22, 2,269.83 and 417.59

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Solution

The fourth proportional to 1,513.22, 2,269.83 and 417.59 is: 626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.22 : 2,269.83 = 417.59 : x
  2. Step 2: Convert to fraction form
    1,513.22/2,269.83 = 417.59/x
  3. Step 3: Cross multiply
    1,513.22x = 2,269.83 × 417.59
  4. Step 4: Simplify right side
    1,513.22x = 947,858.31
  5. Step 5: Solve for x
    x = 947,858.31/1,513.22
  6. Step 6: Final answer
    x = 626.39

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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.