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Finding the Fourth Proportional to 567.75, 847.03 and 513.08

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Solution

The fourth proportional to 567.75, 847.03 and 513.08 is: 765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 847.03 = 513.08 : x
  2. Step 2: Convert to fraction form
    567.75/847.03 = 513.08/x
  3. Step 3: Cross multiply
    567.75x = 847.03 × 513.08
  4. Step 4: Simplify right side
    567.75x = 434,588.63
  5. Step 5: Solve for x
    x = 434,588.63/567.75
  6. Step 6: Final answer
    x = 765.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.