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Finding the Fourth Proportional to 918.65, 1,375.41 and 593.03

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Solution

The fourth proportional to 918.65, 1,375.41 and 593.03 is: 887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.65 : 1,375.41 = 593.03 : x
  2. Step 2: Convert to fraction form
    918.65/1,375.41 = 593.03/x
  3. Step 3: Cross multiply
    918.65x = 1,375.41 × 593.03
  4. Step 4: Simplify right side
    918.65x = 815,659.39
  5. Step 5: Solve for x
    x = 815,659.39/918.65
  6. Step 6: Final answer
    x = 887.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.