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Finding the Fourth Proportional to 525.89, 787.93 and 389.21

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Solution

The fourth proportional to 525.89, 787.93 and 389.21 is: 583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.89 : 787.93 = 389.21 : x
  2. Step 2: Convert to fraction form
    525.89/787.93 = 389.21/x
  3. Step 3: Cross multiply
    525.89x = 787.93 × 389.21
  4. Step 4: Simplify right side
    525.89x = 306,665.32
  5. Step 5: Solve for x
    x = 306,665.32/525.89
  6. Step 6: Final answer
    x = 583.13

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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.