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Finding the Fourth Proportional to 468.19, 701.56 and 345.88

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Solution

The fourth proportional to 468.19, 701.56 and 345.88 is: 518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.19 : 701.56 = 345.88 : x
  2. Step 2: Convert to fraction form
    468.19/701.56 = 345.88/x
  3. Step 3: Cross multiply
    468.19x = 701.56 × 345.88
  4. Step 4: Simplify right side
    468.19x = 242,655.57
  5. Step 5: Solve for x
    x = 242,655.57/468.19
  6. Step 6: Final answer
    x = 518.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.