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Finding the Fourth Proportional to 1,157.25, 1,598.34 and 843.93

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Solution

The fourth proportional to 1,157.25, 1,598.34 and 843.93 is: 1,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.25 : 1,598.34 = 843.93 : x
  2. Step 2: Convert to fraction form
    1,157.25/1,598.34 = 843.93/x
  3. Step 3: Cross multiply
    1,157.25x = 1,598.34 × 843.93
  4. Step 4: Simplify right side
    1,157.25x = 1,348,887.08
  5. Step 5: Solve for x
    x = 1,348,887.08/1,157.25
  6. Step 6: Final answer
    x = 1,165.60

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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.