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Finding the Fourth Proportional to 513.54, 707.86 and 401.31

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Solution

The fourth proportional to 513.54, 707.86 and 401.31 is: 553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 707.86 = 401.31 : x
  2. Step 2: Convert to fraction form
    513.54/707.86 = 401.31/x
  3. Step 3: Cross multiply
    513.54x = 707.86 × 401.31
  4. Step 4: Simplify right side
    513.54x = 284,071.06
  5. Step 5: Solve for x
    x = 284,071.06/513.54
  6. Step 6: Final answer
    x = 553.16

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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.