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Finding the Fourth Proportional to 628.48, 867.31 and 407.47

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Solution

The fourth proportional to 628.48, 867.31 and 407.47 is: 562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.48 : 867.31 = 407.47 : x
  2. Step 2: Convert to fraction form
    628.48/867.31 = 407.47/x
  3. Step 3: Cross multiply
    628.48x = 867.31 × 407.47
  4. Step 4: Simplify right side
    628.48x = 353,402.81
  5. Step 5: Solve for x
    x = 353,402.81/628.48
  6. Step 6: Final answer
    x = 562.31

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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.