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Finding the Fourth Proportional to 845.67, 1,158.54 and 814.08

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Solution

The fourth proportional to 845.67, 1,158.54 and 814.08 is: 1,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.67 : 1,158.54 = 814.08 : x
  2. Step 2: Convert to fraction form
    845.67/1,158.54 = 814.08/x
  3. Step 3: Cross multiply
    845.67x = 1,158.54 × 814.08
  4. Step 4: Simplify right side
    845.67x = 943,144.24
  5. Step 5: Solve for x
    x = 943,144.24/845.67
  6. Step 6: Final answer
    x = 1,115.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.