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Finding the Fourth Proportional to 894.55, 1,348.53 and 835.08

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Solution

The fourth proportional to 894.55, 1,348.53 and 835.08 is: 1,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.55 : 1,348.53 = 835.08 : x
  2. Step 2: Convert to fraction form
    894.55/1,348.53 = 835.08/x
  3. Step 3: Cross multiply
    894.55x = 1,348.53 × 835.08
  4. Step 4: Simplify right side
    894.55x = 1,126,130.43
  5. Step 5: Solve for x
    x = 1,126,130.43/894.55
  6. Step 6: Final answer
    x = 1,258.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.