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Finding the Fourth Proportional to 650.88, 977.84 and 407.58

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Solution

The fourth proportional to 650.88, 977.84 and 407.58 is: 612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.88 : 977.84 = 407.58 : x
  2. Step 2: Convert to fraction form
    650.88/977.84 = 407.58/x
  3. Step 3: Cross multiply
    650.88x = 977.84 × 407.58
  4. Step 4: Simplify right side
    650.88x = 398,548.03
  5. Step 5: Solve for x
    x = 398,548.03/650.88
  6. Step 6: Final answer
    x = 612.32

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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.