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Finding the Fourth Proportional to 657.40, 985.20 and 464.80

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Solution

The fourth proportional to 657.40, 985.20 and 464.80 is: 696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.40 : 985.20 = 464.80 : x
  2. Step 2: Convert to fraction form
    657.40/985.20 = 464.80/x
  3. Step 3: Cross multiply
    657.40x = 985.20 × 464.80
  4. Step 4: Simplify right side
    657.40x = 457,920.96
  5. Step 5: Solve for x
    x = 457,920.96/657.40
  6. Step 6: Final answer
    x = 696.56

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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.