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Finding the Fourth Proportional to 623.26, 938.59 and 543.06

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Solution

The fourth proportional to 623.26, 938.59 and 543.06 is: 817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.26 : 938.59 = 543.06 : x
  2. Step 2: Convert to fraction form
    623.26/938.59 = 543.06/x
  3. Step 3: Cross multiply
    623.26x = 938.59 × 543.06
  4. Step 4: Simplify right side
    623.26x = 509,710.69
  5. Step 5: Solve for x
    x = 509,710.69/623.26
  6. Step 6: Final answer
    x = 817.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.