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Finding the Fourth Proportional to 650.16, 894.96 and 561.60

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Solution

The fourth proportional to 650.16, 894.96 and 561.60 is: 773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 894.96 = 561.60 : x
  2. Step 2: Convert to fraction form
    650.16/894.96 = 561.60/x
  3. Step 3: Cross multiply
    650.16x = 894.96 × 561.60
  4. Step 4: Simplify right side
    650.16x = 502,609.54
  5. Step 5: Solve for x
    x = 502,609.54/650.16
  6. Step 6: Final answer
    x = 773.06

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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.