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Finding the Fourth Proportional to 943.54, 1,412.17 and 526.41

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Solution

The fourth proportional to 943.54, 1,412.17 and 526.41 is: 787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.54 : 1,412.17 = 526.41 : x
  2. Step 2: Convert to fraction form
    943.54/1,412.17 = 526.41/x
  3. Step 3: Cross multiply
    943.54x = 1,412.17 × 526.41
  4. Step 4: Simplify right side
    943.54x = 743,379.09
  5. Step 5: Solve for x
    x = 743,379.09/943.54
  6. Step 6: Final answer
    x = 787.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.