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Finding the Fourth Proportional to 525.13, 787.17 and 294.13

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Solution

The fourth proportional to 525.13, 787.17 and 294.13 is: 440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.13 : 787.17 = 294.13 : x
  2. Step 2: Convert to fraction form
    525.13/787.17 = 294.13/x
  3. Step 3: Cross multiply
    525.13x = 787.17 × 294.13
  4. Step 4: Simplify right side
    525.13x = 231,530.31
  5. Step 5: Solve for x
    x = 231,530.31/525.13
  6. Step 6: Final answer
    x = 440.90

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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.