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Finding the Fourth Proportional to 525.75, 787.59 and 495.78

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Solution

The fourth proportional to 525.75, 787.59 and 495.78 is: 742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.75 : 787.59 = 495.78 : x
  2. Step 2: Convert to fraction form
    525.75/787.59 = 495.78/x
  3. Step 3: Cross multiply
    525.75x = 787.59 × 495.78
  4. Step 4: Simplify right side
    525.75x = 390,471.37
  5. Step 5: Solve for x
    x = 390,471.37/525.75
  6. Step 6: Final answer
    x = 742.69

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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.