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Finding the Fourth Proportional to 628.52, 867.65 and 419.04

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Solution

The fourth proportional to 628.52, 867.65 and 419.04 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.52 : 867.65 = 419.04 : x
  2. Step 2: Convert to fraction form
    628.52/867.65 = 419.04/x
  3. Step 3: Cross multiply
    628.52x = 867.65 × 419.04
  4. Step 4: Simplify right side
    628.52x = 363,577.96
  5. Step 5: Solve for x
    x = 363,577.96/628.52
  6. Step 6: Final answer
    x = 578.47

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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.