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Finding the Fourth Proportional to 1,065.18, 1,469.92 and 593.06

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Solution

The fourth proportional to 1,065.18, 1,469.92 and 593.06 is: 818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.18 : 1,469.92 = 593.06 : x
  2. Step 2: Convert to fraction form
    1,065.18/1,469.92 = 593.06/x
  3. Step 3: Cross multiply
    1,065.18x = 1,469.92 × 593.06
  4. Step 4: Simplify right side
    1,065.18x = 871,750.76
  5. Step 5: Solve for x
    x = 871,750.76/1,065.18
  6. Step 6: Final answer
    x = 818.41

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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.