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Finding the Fourth Proportional to 1,089.46, 1,503.10 and 617.31

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Solution

The fourth proportional to 1,089.46, 1,503.10 and 617.31 is: 851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.46 : 1,503.10 = 617.31 : x
  2. Step 2: Convert to fraction form
    1,089.46/1,503.10 = 617.31/x
  3. Step 3: Cross multiply
    1,089.46x = 1,503.10 × 617.31
  4. Step 4: Simplify right side
    1,089.46x = 927,878.66
  5. Step 5: Solve for x
    x = 927,878.66/1,089.46
  6. Step 6: Final answer
    x = 851.69

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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.