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Finding the Fourth Proportional to 989.66, 1,365.73 and 591.51

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Solution

The fourth proportional to 989.66, 1,365.73 and 591.51 is: 816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.66 : 1,365.73 = 591.51 : x
  2. Step 2: Convert to fraction form
    989.66/1,365.73 = 591.51/x
  3. Step 3: Cross multiply
    989.66x = 1,365.73 × 591.51
  4. Step 4: Simplify right side
    989.66x = 807,836.35
  5. Step 5: Solve for x
    x = 807,836.35/989.66
  6. Step 6: Final answer
    x = 816.27

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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.