Home / 1,646.14-2,271.73-900.15

Finding the Fourth Proportional to 1,646.14, 2,271.73 and 900.15

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Solution

The fourth proportional to 1,646.14, 2,271.73 and 900.15 is: 1,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.14 : 2,271.73 = 900.15 : x
  2. Step 2: Convert to fraction form
    1,646.14/2,271.73 = 900.15/x
  3. Step 3: Cross multiply
    1,646.14x = 2,271.73 × 900.15
  4. Step 4: Simplify right side
    1,646.14x = 2,044,888.68
  5. Step 5: Solve for x
    x = 2,044,888.68/1,646.14
  6. Step 6: Final answer
    x = 1,242.23

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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.