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Finding the Fourth Proportional to 468.62, 646.14 and 390.02

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Solution

The fourth proportional to 468.62, 646.14 and 390.02 is: 537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.62 : 646.14 = 390.02 : x
  2. Step 2: Convert to fraction form
    468.62/646.14 = 390.02/x
  3. Step 3: Cross multiply
    468.62x = 646.14 × 390.02
  4. Step 4: Simplify right side
    468.62x = 252,007.52
  5. Step 5: Solve for x
    x = 252,007.52/468.62
  6. Step 6: Final answer
    x = 537.77

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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.