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Finding the Fourth Proportional to 468.79, 647.14 and 440.74

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Solution

The fourth proportional to 468.79, 647.14 and 440.74 is: 608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.79 : 647.14 = 440.74 : x
  2. Step 2: Convert to fraction form
    468.79/647.14 = 440.74/x
  3. Step 3: Cross multiply
    468.79x = 647.14 × 440.74
  4. Step 4: Simplify right side
    468.79x = 285,221.02
  5. Step 5: Solve for x
    x = 285,221.02/468.79
  6. Step 6: Final answer
    x = 608.42

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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.