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Finding the Fourth Proportional to 511.55, 702.17 and 455.06

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Solution

The fourth proportional to 511.55, 702.17 and 455.06 is: 624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.55 : 702.17 = 455.06 : x
  2. Step 2: Convert to fraction form
    511.55/702.17 = 455.06/x
  3. Step 3: Cross multiply
    511.55x = 702.17 × 455.06
  4. Step 4: Simplify right side
    511.55x = 319,523.69
  5. Step 5: Solve for x
    x = 319,523.69/511.55
  6. Step 6: Final answer
    x = 624.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.