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Finding the Fourth Proportional to 511.51, 765.64 and 407.63

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Solution

The fourth proportional to 511.51, 765.64 and 407.63 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.51 : 765.64 = 407.63 : x
  2. Step 2: Convert to fraction form
    511.51/765.64 = 407.63/x
  3. Step 3: Cross multiply
    511.51x = 765.64 × 407.63
  4. Step 4: Simplify right side
    511.51x = 312,092.99
  5. Step 5: Solve for x
    x = 312,092.99/511.51
  6. Step 6: Final answer
    x = 610.14

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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.