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Finding the Fourth Proportional to 525.44, 787.52 and 433.28

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Solution

The fourth proportional to 525.44, 787.52 and 433.28 is: 649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.44 : 787.52 = 433.28 : x
  2. Step 2: Convert to fraction form
    525.44/787.52 = 433.28/x
  3. Step 3: Cross multiply
    525.44x = 787.52 × 433.28
  4. Step 4: Simplify right side
    525.44x = 341,216.67
  5. Step 5: Solve for x
    x = 341,216.67/525.44
  6. Step 6: Final answer
    x = 649.39

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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.