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Finding the Fourth Proportional to 1,232.19, 1,700.57 and 900.45

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Solution

The fourth proportional to 1,232.19, 1,700.57 and 900.45 is: 1,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.19 : 1,700.57 = 900.45 : x
  2. Step 2: Convert to fraction form
    1,232.19/1,700.57 = 900.45/x
  3. Step 3: Cross multiply
    1,232.19x = 1,700.57 × 900.45
  4. Step 4: Simplify right side
    1,232.19x = 1,531,273.75
  5. Step 5: Solve for x
    x = 1,531,273.75/1,232.19
  6. Step 6: Final answer
    x = 1,242.73

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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.