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Finding the Fourth Proportional to 905.10, 1,244.79 and 730.14

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Solution

The fourth proportional to 905.10, 1,244.79 and 730.14 is: 1,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.10 : 1,244.79 = 730.14 : x
  2. Step 2: Convert to fraction form
    905.10/1,244.79 = 730.14/x
  3. Step 3: Cross multiply
    905.10x = 1,244.79 × 730.14
  4. Step 4: Simplify right side
    905.10x = 908,870.97
  5. Step 5: Solve for x
    x = 908,870.97/905.10
  6. Step 6: Final answer
    x = 1,004.17

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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.