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Finding the Fourth Proportional to 910.14, 1,357.55 and 882.81

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Solution

The fourth proportional to 910.14, 1,357.55 and 882.81 is: 1,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.14 : 1,357.55 = 882.81 : x
  2. Step 2: Convert to fraction form
    910.14/1,357.55 = 882.81/x
  3. Step 3: Cross multiply
    910.14x = 1,357.55 × 882.81
  4. Step 4: Simplify right side
    910.14x = 1,198,460.92
  5. Step 5: Solve for x
    x = 1,198,460.92/910.14
  6. Step 6: Final answer
    x = 1,316.79

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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.