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Finding the Fourth Proportional to 983.54, 1,357.36 and 651.40

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Solution

The fourth proportional to 983.54, 1,357.36 and 651.40 is: 898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.54 : 1,357.36 = 651.40 : x
  2. Step 2: Convert to fraction form
    983.54/1,357.36 = 651.40/x
  3. Step 3: Cross multiply
    983.54x = 1,357.36 × 651.40
  4. Step 4: Simplify right side
    983.54x = 884,179.28
  5. Step 5: Solve for x
    x = 884,179.28/983.54
  6. Step 6: Final answer
    x = 898.97

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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.