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Finding the Fourth Proportional to 1,015.90, 1,401.70 and 617.47

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Solution

The fourth proportional to 1,015.90, 1,401.70 and 617.47 is: 851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.90 : 1,401.70 = 617.47 : x
  2. Step 2: Convert to fraction form
    1,015.90/1,401.70 = 617.47/x
  3. Step 3: Cross multiply
    1,015.90x = 1,401.70 × 617.47
  4. Step 4: Simplify right side
    1,015.90x = 865,507.70
  5. Step 5: Solve for x
    x = 865,507.70/1,015.90
  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.