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Finding the Fourth Proportional to 508.48, 766.48 and 478.75

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Solution

The fourth proportional to 508.48, 766.48 and 478.75 is: 721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.48 : 766.48 = 478.75 : x
  2. Step 2: Convert to fraction form
    508.48/766.48 = 478.75/x
  3. Step 3: Cross multiply
    508.48x = 766.48 × 478.75
  4. Step 4: Simplify right side
    508.48x = 366,948.42
  5. Step 5: Solve for x
    x = 366,948.42/508.48
  6. Step 6: Final answer
    x = 721.66

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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.