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Finding the Fourth Proportional to 645, 967.50 and 260.25

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Solution

The fourth proportional to 645, 967.50 and 260.25 is: 390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    645 : 967.50 = 260.25 : x
  2. Step 2: Convert to fraction form
    645/967.50 = 260.25/x
  3. Step 3: Cross multiply
    645x = 967.50 × 260.25
  4. Step 4: Simplify right side
    645x = 251,791.88
  5. Step 5: Solve for x
    x = 251,791.88/645
  6. Step 6: Final answer
    x = 390.38

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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.