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Finding the Fourth Proportional to 628.31, 867.30 and 407.86

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Solution

The fourth proportional to 628.31, 867.30 and 407.86 is: 562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.31 : 867.30 = 407.86 : x
  2. Step 2: Convert to fraction form
    628.31/867.30 = 407.86/x
  3. Step 3: Cross multiply
    628.31x = 867.30 × 407.86
  4. Step 4: Simplify right side
    628.31x = 353,730.60
  5. Step 5: Solve for x
    x = 353,730.60/628.31
  6. Step 6: Final answer
    x = 562.99

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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.