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Finding the Fourth Proportional to 623.50, 938.99 and 547.41

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Solution

The fourth proportional to 623.50, 938.99 and 547.41 is: 824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.50 : 938.99 = 547.41 : x
  2. Step 2: Convert to fraction form
    623.50/938.99 = 547.41/x
  3. Step 3: Cross multiply
    623.50x = 938.99 × 547.41
  4. Step 4: Simplify right side
    623.50x = 514,012.12
  5. Step 5: Solve for x
    x = 514,012.12/623.50
  6. Step 6: Final answer
    x = 824.40

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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.