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Finding the Fourth Proportional to 782.81, 1,080.55 and 451.37

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Solution

The fourth proportional to 782.81, 1,080.55 and 451.37 is: 623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.81 : 1,080.55 = 451.37 : x
  2. Step 2: Convert to fraction form
    782.81/1,080.55 = 451.37/x
  3. Step 3: Cross multiply
    782.81x = 1,080.55 × 451.37
  4. Step 4: Simplify right side
    782.81x = 487,727.85
  5. Step 5: Solve for x
    x = 487,727.85/782.81
  6. Step 6: Final answer
    x = 623.05

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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.