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Finding the Fourth Proportional to 555.34, 765.77 and 389.50

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Solution

The fourth proportional to 555.34, 765.77 and 389.50 is: 537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.34 : 765.77 = 389.50 : x
  2. Step 2: Convert to fraction form
    555.34/765.77 = 389.50/x
  3. Step 3: Cross multiply
    555.34x = 765.77 × 389.50
  4. Step 4: Simplify right side
    555.34x = 298,267.42
  5. Step 5: Solve for x
    x = 298,267.42/555.34
  6. Step 6: Final answer
    x = 537.09

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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.