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Finding the Fourth Proportional to 983, 1,356.12 and 646.80

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Solution

The fourth proportional to 983, 1,356.12 and 646.80 is: 892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    983 : 1,356.12 = 646.80 : x
  2. Step 2: Convert to fraction form
    983/1,356.12 = 646.80/x
  3. Step 3: Cross multiply
    983x = 1,356.12 × 646.80
  4. Step 4: Simplify right side
    983x = 877,138.42
  5. Step 5: Solve for x
    x = 877,138.42/983
  6. Step 6: Final answer
    x = 892.31

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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.