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Finding the Fourth Proportional to 567.78, 850.90 and 510.89

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Solution

The fourth proportional to 567.78, 850.90 and 510.89 is: 765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.78 : 850.90 = 510.89 : x
  2. Step 2: Convert to fraction form
    567.78/850.90 = 510.89/x
  3. Step 3: Cross multiply
    567.78x = 850.90 × 510.89
  4. Step 4: Simplify right side
    567.78x = 434,710.77
  5. Step 5: Solve for x
    x = 434,710.77/567.78
  6. Step 6: Final answer
    x = 765.63

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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.