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Finding the Fourth Proportional to 468.78, 646.44 and 402.63

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Solution

The fourth proportional to 468.78, 646.44 and 402.63 is: 555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 646.44 = 402.63 : x
  2. Step 2: Convert to fraction form
    468.78/646.44 = 402.63/x
  3. Step 3: Cross multiply
    468.78x = 646.44 × 402.63
  4. Step 4: Simplify right side
    468.78x = 260,276.14
  5. Step 5: Solve for x
    x = 260,276.14/468.78
  6. Step 6: Final answer
    x = 555.22

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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.