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Finding the Fourth Proportional to 647.26, 970.48 and 427.65

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Solution

The fourth proportional to 647.26, 970.48 and 427.65 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.26 : 970.48 = 427.65 : x
  2. Step 2: Convert to fraction form
    647.26/970.48 = 427.65/x
  3. Step 3: Cross multiply
    647.26x = 970.48 × 427.65
  4. Step 4: Simplify right side
    647.26x = 415,025.77
  5. Step 5: Solve for x
    x = 415,025.77/647.26
  6. Step 6: Final answer
    x = 641.20

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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.