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Finding the Fourth Proportional to 983.18, 1,477.56 and 946.82

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Solution

The fourth proportional to 983.18, 1,477.56 and 946.82 is: 1,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.18 : 1,477.56 = 946.82 : x
  2. Step 2: Convert to fraction form
    983.18/1,477.56 = 946.82/x
  3. Step 3: Cross multiply
    983.18x = 1,477.56 × 946.82
  4. Step 4: Simplify right side
    983.18x = 1,398,983.36
  5. Step 5: Solve for x
    x = 1,398,983.36/983.18
  6. Step 6: Final answer
    x = 1,422.92

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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.