Home / 1,645.10-2,465.49-824.30

Finding the Fourth Proportional to 1,645.10, 2,465.49 and 824.30

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Solution

The fourth proportional to 1,645.10, 2,465.49 and 824.30 is: 1,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.10 : 2,465.49 = 824.30 : x
  2. Step 2: Convert to fraction form
    1,645.10/2,465.49 = 824.30/x
  3. Step 3: Cross multiply
    1,645.10x = 2,465.49 × 824.30
  4. Step 4: Simplify right side
    1,645.10x = 2,032,303.41
  5. Step 5: Solve for x
    x = 2,032,303.41/1,645.10
  6. Step 6: Final answer
    x = 1,235.37

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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.