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Finding the Fourth Proportional to 524.75, 787.13 and 307.88

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Solution

The fourth proportional to 524.75, 787.13 and 307.88 is: 461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 787.13 = 307.88 : x
  2. Step 2: Convert to fraction form
    524.75/787.13 = 307.88/x
  3. Step 3: Cross multiply
    524.75x = 787.13 × 307.88
  4. Step 4: Simplify right side
    524.75x = 242,338.42
  5. Step 5: Solve for x
    x = 242,338.42/524.75
  6. Step 6: Final answer
    x = 461.81

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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.