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Finding the Fourth Proportional to 1,341.81, 1,851.91 and 782.60

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Solution

The fourth proportional to 1,341.81, 1,851.91 and 782.60 is: 1,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.81 : 1,851.91 = 782.60 : x
  2. Step 2: Convert to fraction form
    1,341.81/1,851.91 = 782.60/x
  3. Step 3: Cross multiply
    1,341.81x = 1,851.91 × 782.60
  4. Step 4: Simplify right side
    1,341.81x = 1,449,293.55
  5. Step 5: Solve for x
    x = 1,449,293.55/1,341.81
  6. Step 6: Final answer
    x = 1,080.10

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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.