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Finding the Fourth Proportional to 1,646.53, 2,272.27 and 900.49

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Solution

The fourth proportional to 1,646.53, 2,272.27 and 900.49 is: 1,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.53 : 2,272.27 = 900.49 : x
  2. Step 2: Convert to fraction form
    1,646.53/2,272.27 = 900.49/x
  3. Step 3: Cross multiply
    1,646.53x = 2,272.27 × 900.49
  4. Step 4: Simplify right side
    1,646.53x = 2,046,156.38
  5. Step 5: Solve for x
    x = 2,046,156.38/1,646.53
  6. Step 6: Final answer
    x = 1,242.71

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1.5x scale

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.