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Finding the Fourth Proportional to 609.87, 911.30 and 500.25

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Solution

The fourth proportional to 609.87, 911.30 and 500.25 is: 747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.87 : 911.30 = 500.25 : x
  2. Step 2: Convert to fraction form
    609.87/911.30 = 500.25/x
  3. Step 3: Cross multiply
    609.87x = 911.30 × 500.25
  4. Step 4: Simplify right side
    609.87x = 455,875.32
  5. Step 5: Solve for x
    x = 455,875.32/609.87
  6. Step 6: Final answer
    x = 747.50

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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.