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Finding the Fourth Proportional to 555.96, 770.97 and 538.14

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Solution

The fourth proportional to 555.96, 770.97 and 538.14 is: 746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 770.97 = 538.14 : x
  2. Step 2: Convert to fraction form
    555.96/770.97 = 538.14/x
  3. Step 3: Cross multiply
    555.96x = 770.97 × 538.14
  4. Step 4: Simplify right side
    555.96x = 414,889.80
  5. Step 5: Solve for x
    x = 414,889.80/555.96
  6. Step 6: Final answer
    x = 746.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.