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Finding the Fourth Proportional to 525.72, 787.64 and 294.34

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Solution

The fourth proportional to 525.72, 787.64 and 294.34 is: 440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.72 : 787.64 = 294.34 : x
  2. Step 2: Convert to fraction form
    525.72/787.64 = 294.34/x
  3. Step 3: Cross multiply
    525.72x = 787.64 × 294.34
  4. Step 4: Simplify right side
    525.72x = 231,833.96
  5. Step 5: Solve for x
    x = 231,833.96/525.72
  6. Step 6: Final answer
    x = 440.98

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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.