Home / 1,298.08-1,946.33-518.20

Finding the Fourth Proportional to 1,298.08, 1,946.33 and 518.20

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Solution

The fourth proportional to 1,298.08, 1,946.33 and 518.20 is: 776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.08 : 1,946.33 = 518.20 : x
  2. Step 2: Convert to fraction form
    1,298.08/1,946.33 = 518.20/x
  3. Step 3: Cross multiply
    1,298.08x = 1,946.33 × 518.20
  4. Step 4: Simplify right side
    1,298.08x = 1,008,588.21
  5. Step 5: Solve for x
    x = 1,008,588.21/1,298.08
  6. Step 6: Final answer
    x = 776.98

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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.