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Finding the Fourth Proportional to 650.84, 976.56 and 407.30

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Solution

The fourth proportional to 650.84, 976.56 and 407.30 is: 611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.84 : 976.56 = 407.30 : x
  2. Step 2: Convert to fraction form
    650.84/976.56 = 407.30/x
  3. Step 3: Cross multiply
    650.84x = 976.56 × 407.30
  4. Step 4: Simplify right side
    650.84x = 397,752.89
  5. Step 5: Solve for x
    x = 397,752.89/650.84
  6. Step 6: Final answer
    x = 611.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.