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Finding the Fourth Proportional to 845.82, 1,258.68 and 813.02

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Solution

The fourth proportional to 845.82, 1,258.68 and 813.02 is: 1,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.82 : 1,258.68 = 813.02 : x
  2. Step 2: Convert to fraction form
    845.82/1,258.68 = 813.02/x
  3. Step 3: Cross multiply
    845.82x = 1,258.68 × 813.02
  4. Step 4: Simplify right side
    845.82x = 1,023,332.01
  5. Step 5: Solve for x
    x = 1,023,332.01/845.82
  6. Step 6: Final answer
    x = 1,209.87

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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.