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Finding the Fourth Proportional to 648.82, 977.06 and 467.50

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Solution

The fourth proportional to 648.82, 977.06 and 467.50 is: 704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.82 : 977.06 = 467.50 : x
  2. Step 2: Convert to fraction form
    648.82/977.06 = 467.50/x
  3. Step 3: Cross multiply
    648.82x = 977.06 × 467.50
  4. Step 4: Simplify right side
    648.82x = 456,775.55
  5. Step 5: Solve for x
    x = 456,775.55/648.82
  6. Step 6: Final answer
    x = 704.01

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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.