Home / 1,646.14-2,468.05-823.83

Finding the Fourth Proportional to 1,646.14, 2,468.05 and 823.83

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Solution

The fourth proportional to 1,646.14, 2,468.05 and 823.83 is: 1,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.14 : 2,468.05 = 823.83 : x
  2. Step 2: Convert to fraction form
    1,646.14/2,468.05 = 823.83/x
  3. Step 3: Cross multiply
    1,646.14x = 2,468.05 × 823.83
  4. Step 4: Simplify right side
    1,646.14x = 2,033,253.63
  5. Step 5: Solve for x
    x = 2,033,253.63/1,646.14
  6. Step 6: Final answer
    x = 1,235.16

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1.5x scale

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.