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Finding the Fourth Proportional to 511.75, 706.28 and 304.75

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Solution

The fourth proportional to 511.75, 706.28 and 304.75 is: 420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 706.28 = 304.75 : x
  2. Step 2: Convert to fraction form
    511.75/706.28 = 304.75/x
  3. Step 3: Cross multiply
    511.75x = 706.28 × 304.75
  4. Step 4: Simplify right side
    511.75x = 215,238.83
  5. Step 5: Solve for x
    x = 215,238.83/511.75
  6. Step 6: Final answer
    x = 420.59

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Find fourth proportional to 255.88, 353.14 and 152.38
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Double scale
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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.