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Finding the Fourth Proportional to 626.90, 945.64 and 593.70

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Solution

The fourth proportional to 626.90, 945.64 and 593.70 is: 895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.90 : 945.64 = 593.70 : x
  2. Step 2: Convert to fraction form
    626.90/945.64 = 593.70/x
  3. Step 3: Cross multiply
    626.90x = 945.64 × 593.70
  4. Step 4: Simplify right side
    626.90x = 561,426.47
  5. Step 5: Solve for x
    x = 561,426.47/626.90
  6. Step 6: Final answer
    x = 895.56

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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.