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Finding the Fourth Proportional to 650.45, 897.65 and 492.78

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Solution

The fourth proportional to 650.45, 897.65 and 492.78 is: 680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.45 : 897.65 = 492.78 : x
  2. Step 2: Convert to fraction form
    650.45/897.65 = 492.78/x
  3. Step 3: Cross multiply
    650.45x = 897.65 × 492.78
  4. Step 4: Simplify right side
    650.45x = 442,341.50
  5. Step 5: Solve for x
    x = 442,341.50/650.45
  6. Step 6: Final answer
    x = 680.06

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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.