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Finding the Fourth Proportional to 680.32, 1,015.52 and 622.72

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Solution

The fourth proportional to 680.32, 1,015.52 and 622.72 is: 929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.32 : 1,015.52 = 622.72 : x
  2. Step 2: Convert to fraction form
    680.32/1,015.52 = 622.72/x
  3. Step 3: Cross multiply
    680.32x = 1,015.52 × 622.72
  4. Step 4: Simplify right side
    680.32x = 632,384.61
  5. Step 5: Solve for x
    x = 632,384.61/680.32
  6. Step 6: Final answer
    x = 929.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.