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Finding the Fourth Proportional to 648.74, 970.72 and 407.23

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Solution

The fourth proportional to 648.74, 970.72 and 407.23 is: 609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.74 : 970.72 = 407.23 : x
  2. Step 2: Convert to fraction form
    648.74/970.72 = 407.23/x
  3. Step 3: Cross multiply
    648.74x = 970.72 × 407.23
  4. Step 4: Simplify right side
    648.74x = 395,302.86
  5. Step 5: Solve for x
    x = 395,302.86/648.74
  6. Step 6: Final answer
    x = 609.34

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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.