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Finding the Fourth Proportional to 647.24, 969 and 493.82

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Solution

The fourth proportional to 647.24, 969 and 493.82 is: 739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 969 = 493.82 : x
  2. Step 2: Convert to fraction form
    647.24/969 = 493.82/x
  3. Step 3: Cross multiply
    647.24x = 969 × 493.82
  4. Step 4: Simplify right side
    647.24x = 478,511.58
  5. Step 5: Solve for x
    x = 478,511.58/647.24
  6. Step 6: Final answer
    x = 739.31

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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.