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Finding the Fourth Proportional to 507.24, 765.36 and 488.25

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Solution

The fourth proportional to 507.24, 765.36 and 488.25 is: 736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 765.36 = 488.25 : x
  2. Step 2: Convert to fraction form
    507.24/765.36 = 488.25/x
  3. Step 3: Cross multiply
    507.24x = 765.36 × 488.25
  4. Step 4: Simplify right side
    507.24x = 373,687.02
  5. Step 5: Solve for x
    x = 373,687.02/507.24
  6. Step 6: Final answer
    x = 736.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.