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Finding the Fourth Proportional to 843.02, 1,162.16 and 593.56

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Solution

The fourth proportional to 843.02, 1,162.16 and 593.56 is: 818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.02 : 1,162.16 = 593.56 : x
  2. Step 2: Convert to fraction form
    843.02/1,162.16 = 593.56/x
  3. Step 3: Cross multiply
    843.02x = 1,162.16 × 593.56
  4. Step 4: Simplify right side
    843.02x = 689,805.82
  5. Step 5: Solve for x
    x = 689,805.82/843.02
  6. Step 6: Final answer
    x = 818.26

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Double scale
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1.5x scale

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.