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Finding the Fourth Proportional to 554.89, 764.45 and 456.47

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Solution

The fourth proportional to 554.89, 764.45 and 456.47 is: 628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.89 : 764.45 = 456.47 : x
  2. Step 2: Convert to fraction form
    554.89/764.45 = 456.47/x
  3. Step 3: Cross multiply
    554.89x = 764.45 × 456.47
  4. Step 4: Simplify right side
    554.89x = 348,946.21
  5. Step 5: Solve for x
    x = 348,946.21/554.89
  6. Step 6: Final answer
    x = 628.86

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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.