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Finding the Fourth Proportional to 648.64, 973.20 and 374.32

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Solution

The fourth proportional to 648.64, 973.20 and 374.32 is: 561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.64 : 973.20 = 374.32 : x
  2. Step 2: Convert to fraction form
    648.64/973.20 = 374.32/x
  3. Step 3: Cross multiply
    648.64x = 973.20 × 374.32
  4. Step 4: Simplify right side
    648.64x = 364,288.22
  5. Step 5: Solve for x
    x = 364,288.22/648.64
  6. Step 6: Final answer
    x = 561.62

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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.