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Finding the Fourth Proportional to 508.31, 765.66 and 477.56

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Solution

The fourth proportional to 508.31, 765.66 and 477.56 is: 719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 765.66 = 477.56 : x
  2. Step 2: Convert to fraction form
    508.31/765.66 = 477.56/x
  3. Step 3: Cross multiply
    508.31x = 765.66 × 477.56
  4. Step 4: Simplify right side
    508.31x = 365,644.76
  5. Step 5: Solve for x
    x = 365,644.76/508.31
  6. Step 6: Final answer
    x = 719.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.