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Finding the Fourth Proportional to 1,088.49, 1,628.67 and 648.12

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Solution

The fourth proportional to 1,088.49, 1,628.67 and 648.12 is: 969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.49 : 1,628.67 = 648.12 : x
  2. Step 2: Convert to fraction form
    1,088.49/1,628.67 = 648.12/x
  3. Step 3: Cross multiply
    1,088.49x = 1,628.67 × 648.12
  4. Step 4: Simplify right side
    1,088.49x = 1,055,573.60
  5. Step 5: Solve for x
    x = 1,055,573.60/1,088.49
  6. Step 6: Final answer
    x = 969.76

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1.5x scale

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.