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Finding the Fourth Proportional to 555.43, 766.81 and 369.18

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Solution

The fourth proportional to 555.43, 766.81 and 369.18 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.43 : 766.81 = 369.18 : x
  2. Step 2: Convert to fraction form
    555.43/766.81 = 369.18/x
  3. Step 3: Cross multiply
    555.43x = 766.81 × 369.18
  4. Step 4: Simplify right side
    555.43x = 283,087.08
  5. Step 5: Solve for x
    x = 283,087.08/555.43
  6. Step 6: Final answer
    x = 509.67

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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.