Home / 1,040.25-1,561.59-464.34

Finding the Fourth Proportional to 1,040.25, 1,561.59 and 464.34

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Solution

The fourth proportional to 1,040.25, 1,561.59 and 464.34 is: 697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.25 : 1,561.59 = 464.34 : x
  2. Step 2: Convert to fraction form
    1,040.25/1,561.59 = 464.34/x
  3. Step 3: Cross multiply
    1,040.25x = 1,561.59 × 464.34
  4. Step 4: Simplify right side
    1,040.25x = 725,108.70
  5. Step 5: Solve for x
    x = 725,108.70/1,040.25
  6. Step 6: Final answer
    x = 697.05

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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.