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Finding the Fourth Proportional to 1,090.31, 1,636.15 and 603.70

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Solution

The fourth proportional to 1,090.31, 1,636.15 and 603.70 is: 905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.31 : 1,636.15 = 603.70 : x
  2. Step 2: Convert to fraction form
    1,090.31/1,636.15 = 603.70/x
  3. Step 3: Cross multiply
    1,090.31x = 1,636.15 × 603.70
  4. Step 4: Simplify right side
    1,090.31x = 987,748.49
  5. Step 5: Solve for x
    x = 987,748.49/1,090.31
  6. Step 6: Final answer
    x = 905.93

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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.