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Finding the Fourth Proportional to 783.02, 1,080.49 and 451.46

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Solution

The fourth proportional to 783.02, 1,080.49 and 451.46 is: 622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.02 : 1,080.49 = 451.46 : x
  2. Step 2: Convert to fraction form
    783.02/1,080.49 = 451.46/x
  3. Step 3: Cross multiply
    783.02x = 1,080.49 × 451.46
  4. Step 4: Simplify right side
    783.02x = 487,798.02
  5. Step 5: Solve for x
    x = 487,798.02/783.02
  6. Step 6: Final answer
    x = 622.97

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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.