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Finding the Fourth Proportional to 1,087.59, 1,627.74 and 905.34

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Solution

The fourth proportional to 1,087.59, 1,627.74 and 905.34 is: 1,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.59 : 1,627.74 = 905.34 : x
  2. Step 2: Convert to fraction form
    1,087.59/1,627.74 = 905.34/x
  3. Step 3: Cross multiply
    1,087.59x = 1,627.74 × 905.34
  4. Step 4: Simplify right side
    1,087.59x = 1,473,658.13
  5. Step 5: Solve for x
    x = 1,473,658.13/1,087.59
  6. Step 6: Final answer
    x = 1,354.98

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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.