Home / 1,689.21-2,534.90-823.05

Finding the Fourth Proportional to 1,689.21, 2,534.90 and 823.05

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Solution

The fourth proportional to 1,689.21, 2,534.90 and 823.05 is: 1,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.21 : 2,534.90 = 823.05 : x
  2. Step 2: Convert to fraction form
    1,689.21/2,534.90 = 823.05/x
  3. Step 3: Cross multiply
    1,689.21x = 2,534.90 × 823.05
  4. Step 4: Simplify right side
    1,689.21x = 2,086,345.33
  5. Step 5: Solve for x
    x = 2,086,345.33/1,689.21
  6. Step 6: Final answer
    x = 1,235.10

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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.