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Finding the Fourth Proportional to 910.35, 1,364.42 and 648.95

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Solution

The fourth proportional to 910.35, 1,364.42 and 648.95 is: 972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.35 : 1,364.42 = 648.95 : x
  2. Step 2: Convert to fraction form
    910.35/1,364.42 = 648.95/x
  3. Step 3: Cross multiply
    910.35x = 1,364.42 × 648.95
  4. Step 4: Simplify right side
    910.35x = 885,435.16
  5. Step 5: Solve for x
    x = 885,435.16/910.35
  6. Step 6: Final answer
    x = 972.63

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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.