Home / 1,740.12-2,609.57-507.20

Finding the Fourth Proportional to 1,740.12, 2,609.57 and 507.20

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Solution

The fourth proportional to 1,740.12, 2,609.57 and 507.20 is: 760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.12 : 2,609.57 = 507.20 : x
  2. Step 2: Convert to fraction form
    1,740.12/2,609.57 = 507.20/x
  3. Step 3: Cross multiply
    1,740.12x = 2,609.57 × 507.20
  4. Step 4: Simplify right side
    1,740.12x = 1,323,558.32
  5. Step 5: Solve for x
    x = 1,323,558.32/1,740.12
  6. Step 6: Final answer
    x = 760.61

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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.