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Finding the Fourth Proportional to 713.80, 983.91 and 582.58

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Solution

The fourth proportional to 713.80, 983.91 and 582.58 is: 803.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.80 : 983.91 = 582.58 : x
  2. Step 2: Convert to fraction form
    713.80/983.91 = 582.58/x
  3. Step 3: Cross multiply
    713.80x = 983.91 × 582.58
  4. Step 4: Simplify right side
    713.80x = 573,206.29
  5. Step 5: Solve for x
    x = 573,206.29/713.80
  6. Step 6: Final answer
    x = 803.03

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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.