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Finding the Fourth Proportional to 628.60, 866.58 and 407.56

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Solution

The fourth proportional to 628.60, 866.58 and 407.56 is: 561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.60 : 866.58 = 407.56 : x
  2. Step 2: Convert to fraction form
    628.60/866.58 = 407.56/x
  3. Step 3: Cross multiply
    628.60x = 866.58 × 407.56
  4. Step 4: Simplify right side
    628.60x = 353,183.34
  5. Step 5: Solve for x
    x = 353,183.34/628.60
  6. Step 6: Final answer
    x = 561.86

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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.