Home / 1,046.20-1,571.10-740.20

Finding the Fourth Proportional to 1,046.20, 1,571.10 and 740.20

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Solution

The fourth proportional to 1,046.20, 1,571.10 and 740.20 is: 1,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.20 : 1,571.10 = 740.20 : x
  2. Step 2: Convert to fraction form
    1,046.20/1,571.10 = 740.20/x
  3. Step 3: Cross multiply
    1,046.20x = 1,571.10 × 740.20
  4. Step 4: Simplify right side
    1,046.20x = 1,162,928.22
  5. Step 5: Solve for x
    x = 1,162,928.22/1,046.20
  6. Step 6: Final answer
    x = 1,111.57

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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.