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Finding the Fourth Proportional to 468.78, 646.43 and 402.63

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Solution

The fourth proportional to 468.78, 646.43 and 402.63 is: 555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 646.43 = 402.63 : x
  2. Step 2: Convert to fraction form
    468.78/646.43 = 402.63/x
  3. Step 3: Cross multiply
    468.78x = 646.43 × 402.63
  4. Step 4: Simplify right side
    468.78x = 260,270.10
  5. Step 5: Solve for x
    x = 260,270.10/468.78
  6. Step 6: Final answer
    x = 555.21

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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.