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Finding the Fourth Proportional to 837.63, 1,155.90 and 522.96

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Solution

The fourth proportional to 837.63, 1,155.90 and 522.96 is: 721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.63 : 1,155.90 = 522.96 : x
  2. Step 2: Convert to fraction form
    837.63/1,155.90 = 522.96/x
  3. Step 3: Cross multiply
    837.63x = 1,155.90 × 522.96
  4. Step 4: Simplify right side
    837.63x = 604,489.46
  5. Step 5: Solve for x
    x = 604,489.46/837.63
  6. Step 6: Final answer
    x = 721.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.