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Finding the Fourth Proportional to 910.57, 1,359.25 and 842.89

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Solution

The fourth proportional to 910.57, 1,359.25 and 842.89 is: 1,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.57 : 1,359.25 = 842.89 : x
  2. Step 2: Convert to fraction form
    910.57/1,359.25 = 842.89/x
  3. Step 3: Cross multiply
    910.57x = 1,359.25 × 842.89
  4. Step 4: Simplify right side
    910.57x = 1,145,698.23
  5. Step 5: Solve for x
    x = 1,145,698.23/910.57
  6. Step 6: Final answer
    x = 1,258.22

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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.