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Finding the Fourth Proportional to 628.67, 947.69 and 619.22

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Solution

The fourth proportional to 628.67, 947.69 and 619.22 is: 933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.67 : 947.69 = 619.22 : x
  2. Step 2: Convert to fraction form
    628.67/947.69 = 619.22/x
  3. Step 3: Cross multiply
    628.67x = 947.69 × 619.22
  4. Step 4: Simplify right side
    628.67x = 586,820.77
  5. Step 5: Solve for x
    x = 586,820.77/628.67
  6. Step 6: Final answer
    x = 933.44

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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.