Home / 1,610.21-2,415.50-456.05

Finding the Fourth Proportional to 1,610.21, 2,415.50 and 456.05

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Solution

The fourth proportional to 1,610.21, 2,415.50 and 456.05 is: 684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.21 : 2,415.50 = 456.05 : x
  2. Step 2: Convert to fraction form
    1,610.21/2,415.50 = 456.05/x
  3. Step 3: Cross multiply
    1,610.21x = 2,415.50 × 456.05
  4. Step 4: Simplify right side
    1,610.21x = 1,101,594.24
  5. Step 5: Solve for x
    x = 1,101,594.24/1,610.21
  6. Step 6: Final answer
    x = 684.13

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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.