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Finding the Fourth Proportional to 983.23, 1,358.05 and 735.64

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Solution

The fourth proportional to 983.23, 1,358.05 and 735.64 is: 1,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.23 : 1,358.05 = 735.64 : x
  2. Step 2: Convert to fraction form
    983.23/1,358.05 = 735.64/x
  3. Step 3: Cross multiply
    983.23x = 1,358.05 × 735.64
  4. Step 4: Simplify right side
    983.23x = 999,035.90
  5. Step 5: Solve for x
    x = 999,035.90/983.23
  6. Step 6: Final answer
    x = 1,016.08

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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.