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Finding the Fourth Proportional to 525.09, 788.45 and 309.63

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Solution

The fourth proportional to 525.09, 788.45 and 309.63 is: 464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.09 : 788.45 = 309.63 : x
  2. Step 2: Convert to fraction form
    525.09/788.45 = 309.63/x
  3. Step 3: Cross multiply
    525.09x = 788.45 × 309.63
  4. Step 4: Simplify right side
    525.09x = 244,126.23
  5. Step 5: Solve for x
    x = 244,126.23/525.09
  6. Step 6: Final answer
    x = 464.92

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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.