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Finding the Fourth Proportional to 525.88, 787.44 and 305.56

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Solution

The fourth proportional to 525.88, 787.44 and 305.56 is: 457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.88 : 787.44 = 305.56 : x
  2. Step 2: Convert to fraction form
    525.88/787.44 = 305.56/x
  3. Step 3: Cross multiply
    525.88x = 787.44 × 305.56
  4. Step 4: Simplify right side
    525.88x = 240,610.17
  5. Step 5: Solve for x
    x = 240,610.17/525.88
  6. Step 6: Final answer
    x = 457.54

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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.