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Finding the Fourth Proportional to 818.36, 1,226.16 and 646.14

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Solution

The fourth proportional to 818.36, 1,226.16 and 646.14 is: 968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.36 : 1,226.16 = 646.14 : x
  2. Step 2: Convert to fraction form
    818.36/1,226.16 = 646.14/x
  3. Step 3: Cross multiply
    818.36x = 1,226.16 × 646.14
  4. Step 4: Simplify right side
    818.36x = 792,271.02
  5. Step 5: Solve for x
    x = 792,271.02/818.36
  6. Step 6: Final answer
    x = 968.13

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.