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Finding the Fourth Proportional to 508.72, 766.14 and 428.08

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Solution

The fourth proportional to 508.72, 766.14 and 428.08 is: 644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.72 : 766.14 = 428.08 : x
  2. Step 2: Convert to fraction form
    508.72/766.14 = 428.08/x
  3. Step 3: Cross multiply
    508.72x = 766.14 × 428.08
  4. Step 4: Simplify right side
    508.72x = 327,969.21
  5. Step 5: Solve for x
    x = 327,969.21/508.72
  6. Step 6: Final answer
    x = 644.69

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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.