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Finding the Fourth Proportional to 650.88, 980.16 and 469.54

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Solution

The fourth proportional to 650.88, 980.16 and 469.54 is: 707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.88 : 980.16 = 469.54 : x
  2. Step 2: Convert to fraction form
    650.88/980.16 = 469.54/x
  3. Step 3: Cross multiply
    650.88x = 980.16 × 469.54
  4. Step 4: Simplify right side
    650.88x = 460,224.33
  5. Step 5: Solve for x
    x = 460,224.33/650.88
  6. Step 6: Final answer
    x = 707.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.