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Finding the Fourth Proportional to 525.80, 787.28 and 342.74

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Solution

The fourth proportional to 525.80, 787.28 and 342.74 is: 513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 787.28 = 342.74 : x
  2. Step 2: Convert to fraction form
    525.80/787.28 = 342.74/x
  3. Step 3: Cross multiply
    525.80x = 787.28 × 342.74
  4. Step 4: Simplify right side
    525.80x = 269,832.35
  5. Step 5: Solve for x
    x = 269,832.35/525.80
  6. Step 6: Final answer
    x = 513.18

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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.