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Finding the Fourth Proportional to 784.58, 1,080.33 and 618.26

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Solution

The fourth proportional to 784.58, 1,080.33 and 618.26 is: 851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.58 : 1,080.33 = 618.26 : x
  2. Step 2: Convert to fraction form
    784.58/1,080.33 = 618.26/x
  3. Step 3: Cross multiply
    784.58x = 1,080.33 × 618.26
  4. Step 4: Simplify right side
    784.58x = 667,924.83
  5. Step 5: Solve for x
    x = 667,924.83/784.58
  6. Step 6: Final answer
    x = 851.32

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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.