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Finding the Fourth Proportional to 1,089.73, 1,635.68 and 603.01

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Solution

The fourth proportional to 1,089.73, 1,635.68 and 603.01 is: 905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.73 : 1,635.68 = 603.01 : x
  2. Step 2: Convert to fraction form
    1,089.73/1,635.68 = 603.01/x
  3. Step 3: Cross multiply
    1,089.73x = 1,635.68 × 603.01
  4. Step 4: Simplify right side
    1,089.73x = 986,331.40
  5. Step 5: Solve for x
    x = 986,331.40/1,089.73
  6. Step 6: Final answer
    x = 905.12

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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.