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Finding the Fourth Proportional to 554.31, 763.99 and 421.47

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Solution

The fourth proportional to 554.31, 763.99 and 421.47 is: 580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.31 : 763.99 = 421.47 : x
  2. Step 2: Convert to fraction form
    554.31/763.99 = 421.47/x
  3. Step 3: Cross multiply
    554.31x = 763.99 × 421.47
  4. Step 4: Simplify right side
    554.31x = 322,002.26
  5. Step 5: Solve for x
    x = 322,002.26/554.31
  6. Step 6: Final answer
    x = 580.90

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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.