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Finding the Fourth Proportional to 845.02, 1,258.11 and 840.70

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Solution

The fourth proportional to 845.02, 1,258.11 and 840.70 is: 1,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.02 : 1,258.11 = 840.70 : x
  2. Step 2: Convert to fraction form
    845.02/1,258.11 = 840.70/x
  3. Step 3: Cross multiply
    845.02x = 1,258.11 × 840.70
  4. Step 4: Simplify right side
    845.02x = 1,057,693.08
  5. Step 5: Solve for x
    x = 1,057,693.08/845.02
  6. Step 6: Final answer
    x = 1,251.68

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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.