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Finding the Fourth Proportional to 711, 983.10 and 601.80

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Solution

The fourth proportional to 711, 983.10 and 601.80 is: 832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 983.10 = 601.80 : x
  2. Step 2: Convert to fraction form
    711/983.10 = 601.80/x
  3. Step 3: Cross multiply
    711x = 983.10 × 601.80
  4. Step 4: Simplify right side
    711x = 591,629.58
  5. Step 5: Solve for x
    x = 591,629.58/711
  6. Step 6: Final answer
    x = 832.11

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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.