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Finding the Fourth Proportional to 891.42, 1,230.54 and 613.09

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Solution

The fourth proportional to 891.42, 1,230.54 and 613.09 is: 846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.42 : 1,230.54 = 613.09 : x
  2. Step 2: Convert to fraction form
    891.42/1,230.54 = 613.09/x
  3. Step 3: Cross multiply
    891.42x = 1,230.54 × 613.09
  4. Step 4: Simplify right side
    891.42x = 754,431.77
  5. Step 5: Solve for x
    x = 754,431.77/891.42
  6. Step 6: Final answer
    x = 846.33

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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.