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Finding the Fourth Proportional to 538.36, 811.70 and 535.03

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Solution

The fourth proportional to 538.36, 811.70 and 535.03 is: 806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.36 : 811.70 = 535.03 : x
  2. Step 2: Convert to fraction form
    538.36/811.70 = 535.03/x
  3. Step 3: Cross multiply
    538.36x = 811.70 × 535.03
  4. Step 4: Simplify right side
    538.36x = 434,281.18
  5. Step 5: Solve for x
    x = 434,281.18/538.36
  6. Step 6: Final answer
    x = 806.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.