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Finding the Fourth Proportional to 1,324.51, 1,986.73 and 780.15

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Solution

The fourth proportional to 1,324.51, 1,986.73 and 780.15 is: 1,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.51 : 1,986.73 = 780.15 : x
  2. Step 2: Convert to fraction form
    1,324.51/1,986.73 = 780.15/x
  3. Step 3: Cross multiply
    1,324.51x = 1,986.73 × 780.15
  4. Step 4: Simplify right side
    1,324.51x = 1,549,947.41
  5. Step 5: Solve for x
    x = 1,549,947.41/1,324.51
  6. Step 6: Final answer
    x = 1,170.20

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1.5x scale

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.