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Finding the Fourth Proportional to 524.63, 787.28 and 236.07

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Solution

The fourth proportional to 524.63, 787.28 and 236.07 is: 354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 787.28 = 236.07 : x
  2. Step 2: Convert to fraction form
    524.63/787.28 = 236.07/x
  3. Step 3: Cross multiply
    524.63x = 787.28 × 236.07
  4. Step 4: Simplify right side
    524.63x = 185,852.01
  5. Step 5: Solve for x
    x = 185,852.01/524.63
  6. Step 6: Final answer
    x = 354.26

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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.