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Finding the Fourth Proportional to 506.40, 762.56 and 442.16

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Solution

The fourth proportional to 506.40, 762.56 and 442.16 is: 665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.40 : 762.56 = 442.16 : x
  2. Step 2: Convert to fraction form
    506.40/762.56 = 442.16/x
  3. Step 3: Cross multiply
    506.40x = 762.56 × 442.16
  4. Step 4: Simplify right side
    506.40x = 337,173.53
  5. Step 5: Solve for x
    x = 337,173.53/506.40
  6. Step 6: Final answer
    x = 665.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.