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Finding the Fourth Proportional to 1,065.05, 1,469.78 and 592.97

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Solution

The fourth proportional to 1,065.05, 1,469.78 and 592.97 is: 818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.05 : 1,469.78 = 592.97 : x
  2. Step 2: Convert to fraction form
    1,065.05/1,469.78 = 592.97/x
  3. Step 3: Cross multiply
    1,065.05x = 1,469.78 × 592.97
  4. Step 4: Simplify right side
    1,065.05x = 871,538.13
  5. Step 5: Solve for x
    x = 871,538.13/1,065.05
  6. Step 6: Final answer
    x = 818.30

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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.