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Finding the Fourth Proportional to 626.61, 937.94 and 430.46

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Solution

The fourth proportional to 626.61, 937.94 and 430.46 is: 644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.61 : 937.94 = 430.46 : x
  2. Step 2: Convert to fraction form
    626.61/937.94 = 430.46/x
  3. Step 3: Cross multiply
    626.61x = 937.94 × 430.46
  4. Step 4: Simplify right side
    626.61x = 403,749.07
  5. Step 5: Solve for x
    x = 403,749.07/626.61
  6. Step 6: Final answer
    x = 644.34

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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.