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Finding the Fourth Proportional to 685.42, 1,022.86 and 612.52

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Solution

The fourth proportional to 685.42, 1,022.86 and 612.52 is: 914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.42 : 1,022.86 = 612.52 : x
  2. Step 2: Convert to fraction form
    685.42/1,022.86 = 612.52/x
  3. Step 3: Cross multiply
    685.42x = 1,022.86 × 612.52
  4. Step 4: Simplify right side
    685.42x = 626,522.21
  5. Step 5: Solve for x
    x = 626,522.21/685.42
  6. Step 6: Final answer
    x = 914.07

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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.