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Finding the Fourth Proportional to 454.34, 680.16 and 407.40

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Solution

The fourth proportional to 454.34, 680.16 and 407.40 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.34 : 680.16 = 407.40 : x
  2. Step 2: Convert to fraction form
    454.34/680.16 = 407.40/x
  3. Step 3: Cross multiply
    454.34x = 680.16 × 407.40
  4. Step 4: Simplify right side
    454.34x = 277,097.18
  5. Step 5: Solve for x
    x = 277,097.18/454.34
  6. Step 6: Final answer
    x = 609.89

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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.