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Finding the Fourth Proportional to 511.61, 764.02 and 414.23

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Solution

The fourth proportional to 511.61, 764.02 and 414.23 is: 618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.61 : 764.02 = 414.23 : x
  2. Step 2: Convert to fraction form
    511.61/764.02 = 414.23/x
  3. Step 3: Cross multiply
    511.61x = 764.02 × 414.23
  4. Step 4: Simplify right side
    511.61x = 316,480.00
  5. Step 5: Solve for x
    x = 316,480.00/511.61
  6. Step 6: Final answer
    x = 618.60

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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.