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Finding the Fourth Proportional to 511.95, 706.03 and 433.43

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Solution

The fourth proportional to 511.95, 706.03 and 433.43 is: 597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.95 : 706.03 = 433.43 : x
  2. Step 2: Convert to fraction form
    511.95/706.03 = 433.43/x
  3. Step 3: Cross multiply
    511.95x = 706.03 × 433.43
  4. Step 4: Simplify right side
    511.95x = 306,014.58
  5. Step 5: Solve for x
    x = 306,014.58/511.95
  6. Step 6: Final answer
    x = 597.74

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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.