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Finding the Fourth Proportional to 783.06, 1,080.71 and 451.56

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Solution

The fourth proportional to 783.06, 1,080.71 and 451.56 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.06 : 1,080.71 = 451.56 : x
  2. Step 2: Convert to fraction form
    783.06/1,080.71 = 451.56/x
  3. Step 3: Cross multiply
    783.06x = 1,080.71 × 451.56
  4. Step 4: Simplify right side
    783.06x = 488,005.41
  5. Step 5: Solve for x
    x = 488,005.41/783.06
  6. Step 6: Final answer
    x = 623.20

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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.