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Finding the Fourth Proportional to 2,465.68, 3,698.71 and 822.23

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Solution

The fourth proportional to 2,465.68, 3,698.71 and 822.23 is: 1,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.68 : 3,698.71 = 822.23 : x
  2. Step 2: Convert to fraction form
    2,465.68/3,698.71 = 822.23/x
  3. Step 3: Cross multiply
    2,465.68x = 3,698.71 × 822.23
  4. Step 4: Simplify right side
    2,465.68x = 3,041,177.48
  5. Step 5: Solve for x
    x = 3,041,177.48/2,465.68
  6. Step 6: Final answer
    x = 1,233.40

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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.