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Finding the Fourth Proportional to 511.36, 706.29 and 386.75

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Solution

The fourth proportional to 511.36, 706.29 and 386.75 is: 534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.36 : 706.29 = 386.75 : x
  2. Step 2: Convert to fraction form
    511.36/706.29 = 386.75/x
  3. Step 3: Cross multiply
    511.36x = 706.29 × 386.75
  4. Step 4: Simplify right side
    511.36x = 273,159.25
  5. Step 5: Solve for x
    x = 273,159.25/511.36
  6. Step 6: Final answer
    x = 534.18

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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.