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Finding the Fourth Proportional to 511.60, 766.14 and 420.52

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Solution

The fourth proportional to 511.60, 766.14 and 420.52 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 766.14 = 420.52 : x
  2. Step 2: Convert to fraction form
    511.60/766.14 = 420.52/x
  3. Step 3: Cross multiply
    511.60x = 766.14 × 420.52
  4. Step 4: Simplify right side
    511.60x = 322,177.19
  5. Step 5: Solve for x
    x = 322,177.19/511.60
  6. Step 6: Final answer
    x = 629.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.