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Finding the Fourth Proportional to 525.23, 787.83 and 282.23

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Solution

The fourth proportional to 525.23, 787.83 and 282.23 is: 423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.23 : 787.83 = 282.23 : x
  2. Step 2: Convert to fraction form
    525.23/787.83 = 282.23/x
  3. Step 3: Cross multiply
    525.23x = 787.83 × 282.23
  4. Step 4: Simplify right side
    525.23x = 222,349.26
  5. Step 5: Solve for x
    x = 222,349.26/525.23
  6. Step 6: Final answer
    x = 423.34

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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.