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Finding the Fourth Proportional to 914.20, 1,261.17 and 664.99

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Solution

The fourth proportional to 914.20, 1,261.17 and 664.99 is: 917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.20 : 1,261.17 = 664.99 : x
  2. Step 2: Convert to fraction form
    914.20/1,261.17 = 664.99/x
  3. Step 3: Cross multiply
    914.20x = 1,261.17 × 664.99
  4. Step 4: Simplify right side
    914.20x = 838,662.29
  5. Step 5: Solve for x
    x = 838,662.29/914.20
  6. Step 6: Final answer
    x = 917.38

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1.5x scale

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.