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Finding the Fourth Proportional to 623.21, 938.53 and 543.02

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Solution

The fourth proportional to 623.21, 938.53 and 543.02 is: 817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.21 : 938.53 = 543.02 : x
  2. Step 2: Convert to fraction form
    623.21/938.53 = 543.02/x
  3. Step 3: Cross multiply
    623.21x = 938.53 × 543.02
  4. Step 4: Simplify right side
    623.21x = 509,637.85
  5. Step 5: Solve for x
    x = 509,637.85/623.21
  6. Step 6: Final answer
    x = 817.76

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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.