Home / 1,465.29-2,021.58-905.40

Finding the Fourth Proportional to 1,465.29, 2,021.58 and 905.40

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Solution

The fourth proportional to 1,465.29, 2,021.58 and 905.40 is: 1,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.29 : 2,021.58 = 905.40 : x
  2. Step 2: Convert to fraction form
    1,465.29/2,021.58 = 905.40/x
  3. Step 3: Cross multiply
    1,465.29x = 2,021.58 × 905.40
  4. Step 4: Simplify right side
    1,465.29x = 1,830,338.53
  5. Step 5: Solve for x
    x = 1,830,338.53/1,465.29
  6. Step 6: Final answer
    x = 1,249.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.