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Finding the Fourth Proportional to 1,403.40, 1,936.64 and 782.40

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Solution

The fourth proportional to 1,403.40, 1,936.64 and 782.40 is: 1,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.40 : 1,936.64 = 782.40 : x
  2. Step 2: Convert to fraction form
    1,403.40/1,936.64 = 782.40/x
  3. Step 3: Cross multiply
    1,403.40x = 1,936.64 × 782.40
  4. Step 4: Simplify right side
    1,403.40x = 1,515,227.14
  5. Step 5: Solve for x
    x = 1,515,227.14/1,403.40
  6. Step 6: Final answer
    x = 1,079.68

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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.