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Finding the Fourth Proportional to 511.60, 705.88 and 304.56

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Solution

The fourth proportional to 511.60, 705.88 and 304.56 is: 420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 705.88 = 304.56 : x
  2. Step 2: Convert to fraction form
    511.60/705.88 = 304.56/x
  3. Step 3: Cross multiply
    511.60x = 705.88 × 304.56
  4. Step 4: Simplify right side
    511.60x = 214,982.81
  5. Step 5: Solve for x
    x = 214,982.81/511.60
  6. Step 6: Final answer
    x = 420.22

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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.