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Finding the Fourth Proportional to 525.44, 792.16 and 488.32

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Solution

The fourth proportional to 525.44, 792.16 and 488.32 is: 736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.44 : 792.16 = 488.32 : x
  2. Step 2: Convert to fraction form
    525.44/792.16 = 488.32/x
  3. Step 3: Cross multiply
    525.44x = 792.16 × 488.32
  4. Step 4: Simplify right side
    525.44x = 386,827.57
  5. Step 5: Solve for x
    x = 386,827.57/525.44
  6. Step 6: Final answer
    x = 736.20

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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.