Home / 1,040.24-1,560.62-309.88

Finding the Fourth Proportional to 1,040.24, 1,560.62 and 309.88

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Solution

The fourth proportional to 1,040.24, 1,560.62 and 309.88 is: 464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.24 : 1,560.62 = 309.88 : x
  2. Step 2: Convert to fraction form
    1,040.24/1,560.62 = 309.88/x
  3. Step 3: Cross multiply
    1,040.24x = 1,560.62 × 309.88
  4. Step 4: Simplify right side
    1,040.24x = 483,597.13
  5. Step 5: Solve for x
    x = 483,597.13/1,040.24
  6. Step 6: Final answer
    x = 464.89

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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.