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Finding the Fourth Proportional to 452.90, 675.65 and 440.34

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Solution

The fourth proportional to 452.90, 675.65 and 440.34 is: 656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.90 : 675.65 = 440.34 : x
  2. Step 2: Convert to fraction form
    452.90/675.65 = 440.34/x
  3. Step 3: Cross multiply
    452.90x = 675.65 × 440.34
  4. Step 4: Simplify right side
    452.90x = 297,513.52
  5. Step 5: Solve for x
    x = 297,513.52/452.90
  6. Step 6: Final answer
    x = 656.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.