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Finding the Fourth Proportional to 567.99, 852.15 and 383.63

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Solution

The fourth proportional to 567.99, 852.15 and 383.63 is: 575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.99 : 852.15 = 383.63 : x
  2. Step 2: Convert to fraction form
    567.99/852.15 = 383.63/x
  3. Step 3: Cross multiply
    567.99x = 852.15 × 383.63
  4. Step 4: Simplify right side
    567.99x = 326,906.04
  5. Step 5: Solve for x
    x = 326,906.04/567.99
  6. Step 6: Final answer
    x = 575.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.