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Finding the Fourth Proportional to 525.77, 789.29 and 309.50

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Solution

The fourth proportional to 525.77, 789.29 and 309.50 is: 464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.77 : 789.29 = 309.50 : x
  2. Step 2: Convert to fraction form
    525.77/789.29 = 309.50/x
  3. Step 3: Cross multiply
    525.77x = 789.29 × 309.50
  4. Step 4: Simplify right side
    525.77x = 244,283.71
  5. Step 5: Solve for x
    x = 244,283.71/525.77
  6. Step 6: Final answer
    x = 464.62

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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.