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Finding the Fourth Proportional to 460.58, 639.11 and 442.76

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Solution

The fourth proportional to 460.58, 639.11 and 442.76 is: 614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.58 : 639.11 = 442.76 : x
  2. Step 2: Convert to fraction form
    460.58/639.11 = 442.76/x
  3. Step 3: Cross multiply
    460.58x = 639.11 × 442.76
  4. Step 4: Simplify right side
    460.58x = 282,970.25
  5. Step 5: Solve for x
    x = 282,970.25/460.58
  6. Step 6: Final answer
    x = 614.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.