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Finding the Fourth Proportional to 989.35, 1,477.31 and 885.47

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Solution

The fourth proportional to 989.35, 1,477.31 and 885.47 is: 1,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.35 : 1,477.31 = 885.47 : x
  2. Step 2: Convert to fraction form
    989.35/1,477.31 = 885.47/x
  3. Step 3: Cross multiply
    989.35x = 1,477.31 × 885.47
  4. Step 4: Simplify right side
    989.35x = 1,308,101.87
  5. Step 5: Solve for x
    x = 1,308,101.87/989.35
  6. Step 6: Final answer
    x = 1,322.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.