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Finding the Fourth Proportional to 661.36, 913 and 452.64

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Solution

The fourth proportional to 661.36, 913 and 452.64 is: 624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.36 : 913 = 452.64 : x
  2. Step 2: Convert to fraction form
    661.36/913 = 452.64/x
  3. Step 3: Cross multiply
    661.36x = 913 × 452.64
  4. Step 4: Simplify right side
    661.36x = 413,260.32
  5. Step 5: Solve for x
    x = 413,260.32/661.36
  6. Step 6: Final answer
    x = 624.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.