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Finding the Fourth Proportional to 525.43, 787.62 and 330.57

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Solution

The fourth proportional to 525.43, 787.62 and 330.57 is: 495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.43 : 787.62 = 330.57 : x
  2. Step 2: Convert to fraction form
    525.43/787.62 = 330.57/x
  3. Step 3: Cross multiply
    525.43x = 787.62 × 330.57
  4. Step 4: Simplify right side
    525.43x = 260,364.08
  5. Step 5: Solve for x
    x = 260,364.08/525.43
  6. Step 6: Final answer
    x = 495.52

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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.