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Finding the Fourth Proportional to 542.23, 808.19 and 511.48

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Solution

The fourth proportional to 542.23, 808.19 and 511.48 is: 762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.23 : 808.19 = 511.48 : x
  2. Step 2: Convert to fraction form
    542.23/808.19 = 511.48/x
  3. Step 3: Cross multiply
    542.23x = 808.19 × 511.48
  4. Step 4: Simplify right side
    542.23x = 413,373.02
  5. Step 5: Solve for x
    x = 413,373.02/542.23
  6. Step 6: Final answer
    x = 762.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.