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Finding the Fourth Proportional to 983.40, 1,476.31 and 780.49

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Solution

The fourth proportional to 983.40, 1,476.31 and 780.49 is: 1,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.40 : 1,476.31 = 780.49 : x
  2. Step 2: Convert to fraction form
    983.40/1,476.31 = 780.49/x
  3. Step 3: Cross multiply
    983.40x = 1,476.31 × 780.49
  4. Step 4: Simplify right side
    983.40x = 1,152,245.19
  5. Step 5: Solve for x
    x = 1,152,245.19/983.40
  6. Step 6: Final answer
    x = 1,171.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.