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Finding the Fourth Proportional to 983.90, 1,357.39 and 564.02

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Solution

The fourth proportional to 983.90, 1,357.39 and 564.02 is: 778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.90 : 1,357.39 = 564.02 : x
  2. Step 2: Convert to fraction form
    983.90/1,357.39 = 564.02/x
  3. Step 3: Cross multiply
    983.90x = 1,357.39 × 564.02
  4. Step 4: Simplify right side
    983.90x = 765,591.71
  5. Step 5: Solve for x
    x = 765,591.71/983.90
  6. Step 6: Final answer
    x = 778.12

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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.