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Finding the Fourth Proportional to 468.38, 646.54 and 402.62

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Solution

The fourth proportional to 468.38, 646.54 and 402.62 is: 555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.38 : 646.54 = 402.62 : x
  2. Step 2: Convert to fraction form
    468.38/646.54 = 402.62/x
  3. Step 3: Cross multiply
    468.38x = 646.54 × 402.62
  4. Step 4: Simplify right side
    468.38x = 260,309.93
  5. Step 5: Solve for x
    x = 260,309.93/468.38
  6. Step 6: Final answer
    x = 555.77

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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.