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Finding the Fourth Proportional to 688.32, 949.92 and 455.28

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Solution

The fourth proportional to 688.32, 949.92 and 455.28 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.32 : 949.92 = 455.28 : x
  2. Step 2: Convert to fraction form
    688.32/949.92 = 455.28/x
  3. Step 3: Cross multiply
    688.32x = 949.92 × 455.28
  4. Step 4: Simplify right side
    688.32x = 432,479.58
  5. Step 5: Solve for x
    x = 432,479.58/688.32
  6. Step 6: Final answer
    x = 628.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.