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Finding the Fourth Proportional to 910.56, 1,256.16 and 648

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Solution

The fourth proportional to 910.56, 1,256.16 and 648 is: 893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.56 : 1,256.16 = 648 : x
  2. Step 2: Convert to fraction form
    910.56/1,256.16 = 648/x
  3. Step 3: Cross multiply
    910.56x = 1,256.16 × 648
  4. Step 4: Simplify right side
    910.56x = 813,991.68
  5. Step 5: Solve for x
    x = 813,991.68/910.56
  6. Step 6: Final answer
    x = 893.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.