Home / 1,040.10-1,560.42-309.66

Finding the Fourth Proportional to 1,040.10, 1,560.42 and 309.66

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Solution

The fourth proportional to 1,040.10, 1,560.42 and 309.66 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.10 : 1,560.42 = 309.66 : x
  2. Step 2: Convert to fraction form
    1,040.10/1,560.42 = 309.66/x
  3. Step 3: Cross multiply
    1,040.10x = 1,560.42 × 309.66
  4. Step 4: Simplify right side
    1,040.10x = 483,199.66
  5. Step 5: Solve for x
    x = 483,199.66/1,040.10
  6. Step 6: Final answer
    x = 464.57

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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.