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Finding the Fourth Proportional to 628.50, 866.77 and 407.23

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Solution

The fourth proportional to 628.50, 866.77 and 407.23 is: 561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.50 : 866.77 = 407.23 : x
  2. Step 2: Convert to fraction form
    628.50/866.77 = 407.23/x
  3. Step 3: Cross multiply
    628.50x = 866.77 × 407.23
  4. Step 4: Simplify right side
    628.50x = 352,974.75
  5. Step 5: Solve for x
    x = 352,974.75/628.50
  6. Step 6: Final answer
    x = 561.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.