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Finding the Fourth Proportional to 525.40, 787.95 and 343.77

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Solution

The fourth proportional to 525.40, 787.95 and 343.77 is: 515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.40 : 787.95 = 343.77 : x
  2. Step 2: Convert to fraction form
    525.40/787.95 = 343.77/x
  3. Step 3: Cross multiply
    525.40x = 787.95 × 343.77
  4. Step 4: Simplify right side
    525.40x = 270,873.57
  5. Step 5: Solve for x
    x = 270,873.57/525.40
  6. Step 6: Final answer
    x = 515.56

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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.