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Finding the Fourth Proportional to 1,072.82, 1,607.24 and 900.58

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Solution

The fourth proportional to 1,072.82, 1,607.24 and 900.58 is: 1,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.82 : 1,607.24 = 900.58 : x
  2. Step 2: Convert to fraction form
    1,072.82/1,607.24 = 900.58/x
  3. Step 3: Cross multiply
    1,072.82x = 1,607.24 × 900.58
  4. Step 4: Simplify right side
    1,072.82x = 1,447,448.20
  5. Step 5: Solve for x
    x = 1,447,448.20/1,072.82
  6. Step 6: Final answer
    x = 1,349.20

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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.