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Finding the Fourth Proportional to 511.32, 706.04 and 452.16

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Solution

The fourth proportional to 511.32, 706.04 and 452.16 is: 624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 706.04 = 452.16 : x
  2. Step 2: Convert to fraction form
    511.32/706.04 = 452.16/x
  3. Step 3: Cross multiply
    511.32x = 706.04 × 452.16
  4. Step 4: Simplify right side
    511.32x = 319,243.05
  5. Step 5: Solve for x
    x = 319,243.05/511.32
  6. Step 6: Final answer
    x = 624.35

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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.