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Finding the Fourth Proportional to 910.40, 1,256.64 and 648.48

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Solution

The fourth proportional to 910.40, 1,256.64 and 648.48 is: 895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.40 : 1,256.64 = 648.48 : x
  2. Step 2: Convert to fraction form
    910.40/1,256.64 = 648.48/x
  3. Step 3: Cross multiply
    910.40x = 1,256.64 × 648.48
  4. Step 4: Simplify right side
    910.40x = 814,905.91
  5. Step 5: Solve for x
    x = 814,905.91/910.40
  6. Step 6: Final answer
    x = 895.11

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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.