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Finding the Fourth Proportional to 525.21, 724.75 and 309.59

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Solution

The fourth proportional to 525.21, 724.75 and 309.59 is: 427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.21 : 724.75 = 309.59 : x
  2. Step 2: Convert to fraction form
    525.21/724.75 = 309.59/x
  3. Step 3: Cross multiply
    525.21x = 724.75 × 309.59
  4. Step 4: Simplify right side
    525.21x = 224,377.55
  5. Step 5: Solve for x
    x = 224,377.55/525.21
  6. Step 6: Final answer
    x = 427.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.