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Finding the Fourth Proportional to 910.50, 1,256.07 and 648.66

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Solution

The fourth proportional to 910.50, 1,256.07 and 648.66 is: 894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.50 : 1,256.07 = 648.66 : x
  2. Step 2: Convert to fraction form
    910.50/1,256.07 = 648.66/x
  3. Step 3: Cross multiply
    910.50x = 1,256.07 × 648.66
  4. Step 4: Simplify right side
    910.50x = 814,762.37
  5. Step 5: Solve for x
    x = 814,762.37/910.50
  6. Step 6: Final answer
    x = 894.85

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