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Finding the Fourth Proportional to 1,403.19, 1,936.40 and 782.19

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Solution

The fourth proportional to 1,403.19, 1,936.40 and 782.19 is: 1,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.19 : 1,936.40 = 782.19 : x
  2. Step 2: Convert to fraction form
    1,403.19/1,936.40 = 782.19/x
  3. Step 3: Cross multiply
    1,403.19x = 1,936.40 × 782.19
  4. Step 4: Simplify right side
    1,403.19x = 1,514,632.72
  5. Step 5: Solve for x
    x = 1,514,632.72/1,403.19
  6. Step 6: Final answer
    x = 1,079.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.