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Finding the Fourth Proportional to 1,055.33, 1,576.99 and 790.07

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Solution

The fourth proportional to 1,055.33, 1,576.99 and 790.07 is: 1,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.33 : 1,576.99 = 790.07 : x
  2. Step 2: Convert to fraction form
    1,055.33/1,576.99 = 790.07/x
  3. Step 3: Cross multiply
    1,055.33x = 1,576.99 × 790.07
  4. Step 4: Simplify right side
    1,055.33x = 1,245,928.54
  5. Step 5: Solve for x
    x = 1,245,928.54/1,055.33
  6. Step 6: Final answer
    x = 1,180.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.