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Finding the Fourth Proportional to 1,412.26, 1,948.97 and 782.84

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Solution

The fourth proportional to 1,412.26, 1,948.97 and 782.84 is: 1,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.26 : 1,948.97 = 782.84 : x
  2. Step 2: Convert to fraction form
    1,412.26/1,948.97 = 782.84/x
  3. Step 3: Cross multiply
    1,412.26x = 1,948.97 × 782.84
  4. Step 4: Simplify right side
    1,412.26x = 1,525,731.67
  5. Step 5: Solve for x
    x = 1,525,731.67/1,412.26
  6. Step 6: Final answer
    x = 1,080.35

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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.