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Finding the Fourth Proportional to 685.64, 1,022.78 and 612.74

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Solution

The fourth proportional to 685.64, 1,022.78 and 612.74 is: 914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.64 : 1,022.78 = 612.74 : x
  2. Step 2: Convert to fraction form
    685.64/1,022.78 = 612.74/x
  3. Step 3: Cross multiply
    685.64x = 1,022.78 × 612.74
  4. Step 4: Simplify right side
    685.64x = 626,698.22
  5. Step 5: Solve for x
    x = 626,698.22/685.64
  6. Step 6: Final answer
    x = 914.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.