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Finding the Fourth Proportional to 1,681.76, 2,320.68 and 983

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Solution

The fourth proportional to 1,681.76, 2,320.68 and 983 is: 1,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.76 : 2,320.68 = 983 : x
  2. Step 2: Convert to fraction form
    1,681.76/2,320.68 = 983/x
  3. Step 3: Cross multiply
    1,681.76x = 2,320.68 × 983
  4. Step 4: Simplify right side
    1,681.76x = 2,281,228.44
  5. Step 5: Solve for x
    x = 2,281,228.44/1,681.76
  6. Step 6: Final answer
    x = 1,356.45

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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.