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Finding the Fourth Proportional to 713.78, 983.42 and 595.32

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Solution

The fourth proportional to 713.78, 983.42 and 595.32 is: 820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.78 : 983.42 = 595.32 : x
  2. Step 2: Convert to fraction form
    713.78/983.42 = 595.32/x
  3. Step 3: Cross multiply
    713.78x = 983.42 × 595.32
  4. Step 4: Simplify right side
    713.78x = 585,449.59
  5. Step 5: Solve for x
    x = 585,449.59/713.78
  6. Step 6: Final answer
    x = 820.21

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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.