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Finding the Fourth Proportional to 468.76, 646.50 and 313.48

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Solution

The fourth proportional to 468.76, 646.50 and 313.48 is: 432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.76 : 646.50 = 313.48 : x
  2. Step 2: Convert to fraction form
    468.76/646.50 = 313.48/x
  3. Step 3: Cross multiply
    468.76x = 646.50 × 313.48
  4. Step 4: Simplify right side
    468.76x = 202,664.82
  5. Step 5: Solve for x
    x = 202,664.82/468.76
  6. Step 6: Final answer
    x = 432.34

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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.