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Finding the Fourth Proportional to 647.44, 971.80 and 504.72

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Solution

The fourth proportional to 647.44, 971.80 and 504.72 is: 757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.44 : 971.80 = 504.72 : x
  2. Step 2: Convert to fraction form
    647.44/971.80 = 504.72/x
  3. Step 3: Cross multiply
    647.44x = 971.80 × 504.72
  4. Step 4: Simplify right side
    647.44x = 490,486.90
  5. Step 5: Solve for x
    x = 490,486.90/647.44
  6. Step 6: Final answer
    x = 757.58

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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.