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Finding the Fourth Proportional to 567.70, 850.35 and 259.81

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Solution

The fourth proportional to 567.70, 850.35 and 259.81 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.70 : 850.35 = 259.81 : x
  2. Step 2: Convert to fraction form
    567.70/850.35 = 259.81/x
  3. Step 3: Cross multiply
    567.70x = 850.35 × 259.81
  4. Step 4: Simplify right side
    567.70x = 220,929.76
  5. Step 5: Solve for x
    x = 220,929.76/567.70
  6. Step 6: Final answer
    x = 389.17

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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.