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Finding the Fourth Proportional to 627.89, 945.14 and 533.93

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Solution

The fourth proportional to 627.89, 945.14 and 533.93 is: 803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.89 : 945.14 = 533.93 : x
  2. Step 2: Convert to fraction form
    627.89/945.14 = 533.93/x
  3. Step 3: Cross multiply
    627.89x = 945.14 × 533.93
  4. Step 4: Simplify right side
    627.89x = 504,638.29
  5. Step 5: Solve for x
    x = 504,638.29/627.89
  6. Step 6: Final answer
    x = 803.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.