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Finding the Fourth Proportional to 438.14, 656.73 and 386.91

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Solution

The fourth proportional to 438.14, 656.73 and 386.91 is: 579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.14 : 656.73 = 386.91 : x
  2. Step 2: Convert to fraction form
    438.14/656.73 = 386.91/x
  3. Step 3: Cross multiply
    438.14x = 656.73 × 386.91
  4. Step 4: Simplify right side
    438.14x = 254,095.40
  5. Step 5: Solve for x
    x = 254,095.40/438.14
  6. Step 6: Final answer
    x = 579.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.