Home / 1,746.42-2,620.04-513.83

Finding the Fourth Proportional to 1,746.42, 2,620.04 and 513.83

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Solution

The fourth proportional to 1,746.42, 2,620.04 and 513.83 is: 770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.42 : 2,620.04 = 513.83 : x
  2. Step 2: Convert to fraction form
    1,746.42/2,620.04 = 513.83/x
  3. Step 3: Cross multiply
    1,746.42x = 2,620.04 × 513.83
  4. Step 4: Simplify right side
    1,746.42x = 1,346,239.48
  5. Step 5: Solve for x
    x = 1,346,239.48/1,746.42
  6. Step 6: Final answer
    x = 770.86

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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.