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Finding the Fourth Proportional to 524, 785.10 and 442.28

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Solution

The fourth proportional to 524, 785.10 and 442.28 is: 662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524 : 785.10 = 442.28 : x
  2. Step 2: Convert to fraction form
    524/785.10 = 442.28/x
  3. Step 3: Cross multiply
    524x = 785.10 × 442.28
  4. Step 4: Simplify right side
    524x = 347,234.03
  5. Step 5: Solve for x
    x = 347,234.03/524
  6. Step 6: Final answer
    x = 662.66

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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.