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Finding the Fourth Proportional to 845.58, 1,164.99 and 704.91

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Solution

The fourth proportional to 845.58, 1,164.99 and 704.91 is: 971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.58 : 1,164.99 = 704.91 : x
  2. Step 2: Convert to fraction form
    845.58/1,164.99 = 704.91/x
  3. Step 3: Cross multiply
    845.58x = 1,164.99 × 704.91
  4. Step 4: Simplify right side
    845.58x = 821,213.10
  5. Step 5: Solve for x
    x = 821,213.10/845.58
  6. Step 6: Final answer
    x = 971.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.