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Finding the Fourth Proportional to 1,065.09, 1,469.91 and 593.07

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Solution

The fourth proportional to 1,065.09, 1,469.91 and 593.07 is: 818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.09 : 1,469.91 = 593.07 : x
  2. Step 2: Convert to fraction form
    1,065.09/1,469.91 = 593.07/x
  3. Step 3: Cross multiply
    1,065.09x = 1,469.91 × 593.07
  4. Step 4: Simplify right side
    1,065.09x = 871,756.24
  5. Step 5: Solve for x
    x = 871,756.24/1,065.09
  6. Step 6: Final answer
    x = 818.48

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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.