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Finding the Fourth Proportional to 1,087.84, 1,628.52 and 653.68

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Solution

The fourth proportional to 1,087.84, 1,628.52 and 653.68 is: 978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.84 : 1,628.52 = 653.68 : x
  2. Step 2: Convert to fraction form
    1,087.84/1,628.52 = 653.68/x
  3. Step 3: Cross multiply
    1,087.84x = 1,628.52 × 653.68
  4. Step 4: Simplify right side
    1,087.84x = 1,064,530.95
  5. Step 5: Solve for x
    x = 1,064,530.95/1,087.84
  6. Step 6: Final answer
    x = 978.57

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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.