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Finding the Fourth Proportional to 648.60, 973.80 and 406.08

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Solution

The fourth proportional to 648.60, 973.80 and 406.08 is: 609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.60 : 973.80 = 406.08 : x
  2. Step 2: Convert to fraction form
    648.60/973.80 = 406.08/x
  3. Step 3: Cross multiply
    648.60x = 973.80 × 406.08
  4. Step 4: Simplify right side
    648.60x = 395,440.70
  5. Step 5: Solve for x
    x = 395,440.70/648.60
  6. Step 6: Final answer
    x = 609.68

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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.