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Finding the Fourth Proportional to 511.87, 702.81 and 498.50

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Solution

The fourth proportional to 511.87, 702.81 and 498.50 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.87 : 702.81 = 498.50 : x
  2. Step 2: Convert to fraction form
    511.87/702.81 = 498.50/x
  3. Step 3: Cross multiply
    511.87x = 702.81 × 498.50
  4. Step 4: Simplify right side
    511.87x = 350,348.29
  5. Step 5: Solve for x
    x = 350,348.29/511.87
  6. Step 6: Final answer
    x = 684.45

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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.