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Finding the Fourth Proportional to 910.69, 1,357.84 and 894.28

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Solution

The fourth proportional to 910.69, 1,357.84 and 894.28 is: 1,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.69 : 1,357.84 = 894.28 : x
  2. Step 2: Convert to fraction form
    910.69/1,357.84 = 894.28/x
  3. Step 3: Cross multiply
    910.69x = 1,357.84 × 894.28
  4. Step 4: Simplify right side
    910.69x = 1,214,289.16
  5. Step 5: Solve for x
    x = 1,214,289.16/910.69
  6. Step 6: Final answer
    x = 1,333.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.