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Finding the Fourth Proportional to 1,091.96, 1,505.46 and 904.76

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Solution

The fourth proportional to 1,091.96, 1,505.46 and 904.76 is: 1,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.96 : 1,505.46 = 904.76 : x
  2. Step 2: Convert to fraction form
    1,091.96/1,505.46 = 904.76/x
  3. Step 3: Cross multiply
    1,091.96x = 1,505.46 × 904.76
  4. Step 4: Simplify right side
    1,091.96x = 1,362,079.99
  5. Step 5: Solve for x
    x = 1,362,079.99/1,091.96
  6. Step 6: Final answer
    x = 1,247.37

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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.