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Finding the Fourth Proportional to 1,740.26, 2,609.98 and 507.34

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Solution

The fourth proportional to 1,740.26, 2,609.98 and 507.34 is: 760.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.26 : 2,609.98 = 507.34 : x
  2. Step 2: Convert to fraction form
    1,740.26/2,609.98 = 507.34/x
  3. Step 3: Cross multiply
    1,740.26x = 2,609.98 × 507.34
  4. Step 4: Simplify right side
    1,740.26x = 1,324,147.25
  5. Step 5: Solve for x
    x = 1,324,147.25/1,740.26
  6. Step 6: Final answer
    x = 760.89

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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.