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Finding the Fourth Proportional to 524, 787.16 and 341.68

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Solution

The fourth proportional to 524, 787.16 and 341.68 is: 513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524 : 787.16 = 341.68 : x
  2. Step 2: Convert to fraction form
    524/787.16 = 341.68/x
  3. Step 3: Cross multiply
    524x = 787.16 × 341.68
  4. Step 4: Simplify right side
    524x = 268,956.83
  5. Step 5: Solve for x
    x = 268,956.83/524
  6. Step 6: Final answer
    x = 513.28

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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.