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Finding the Fourth Proportional to 901.57, 1,242.93 and 617.98

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Solution

The fourth proportional to 901.57, 1,242.93 and 617.98 is: 851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.57 : 1,242.93 = 617.98 : x
  2. Step 2: Convert to fraction form
    901.57/1,242.93 = 617.98/x
  3. Step 3: Cross multiply
    901.57x = 1,242.93 × 617.98
  4. Step 4: Simplify right side
    901.57x = 768,105.88
  5. Step 5: Solve for x
    x = 768,105.88/901.57
  6. Step 6: Final answer
    x = 851.96

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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.