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Finding the Fourth Proportional to 650.98, 977.05 and 304.51

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Solution

The fourth proportional to 650.98, 977.05 and 304.51 is: 457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.98 : 977.05 = 304.51 : x
  2. Step 2: Convert to fraction form
    650.98/977.05 = 304.51/x
  3. Step 3: Cross multiply
    650.98x = 977.05 × 304.51
  4. Step 4: Simplify right side
    650.98x = 297,515.09
  5. Step 5: Solve for x
    x = 297,515.09/650.98
  6. Step 6: Final answer
    x = 457.03

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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.