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Finding the Fourth Proportional to 524.79, 787.23 and 140.04

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Solution

The fourth proportional to 524.79, 787.23 and 140.04 is: 210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.79 : 787.23 = 140.04 : x
  2. Step 2: Convert to fraction form
    524.79/787.23 = 140.04/x
  3. Step 3: Cross multiply
    524.79x = 787.23 × 140.04
  4. Step 4: Simplify right side
    524.79x = 110,243.69
  5. Step 5: Solve for x
    x = 110,243.69/524.79
  6. Step 6: Final answer
    x = 210.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.