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Finding the Fourth Proportional to 1,087.35, 1,635.25 and 906.99

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Solution

The fourth proportional to 1,087.35, 1,635.25 and 906.99 is: 1,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.35 : 1,635.25 = 906.99 : x
  2. Step 2: Convert to fraction form
    1,087.35/1,635.25 = 906.99/x
  3. Step 3: Cross multiply
    1,087.35x = 1,635.25 × 906.99
  4. Step 4: Simplify right side
    1,087.35x = 1,483,155.40
  5. Step 5: Solve for x
    x = 1,483,155.40/1,087.35
  6. Step 6: Final answer
    x = 1,364.01

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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.