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Finding the Fourth Proportional to 989.12, 1,475.09 and 975.89

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Solution

The fourth proportional to 989.12, 1,475.09 and 975.89 is: 1,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.12 : 1,475.09 = 975.89 : x
  2. Step 2: Convert to fraction form
    989.12/1,475.09 = 975.89/x
  3. Step 3: Cross multiply
    989.12x = 1,475.09 × 975.89
  4. Step 4: Simplify right side
    989.12x = 1,439,513.33
  5. Step 5: Solve for x
    x = 1,439,513.33/989.12
  6. Step 6: Final answer
    x = 1,455.34

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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.