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Finding the Fourth Proportional to 713.00, 983.95 and 433.22

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Solution

The fourth proportional to 713.00, 983.95 and 433.22 is: 597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.00 : 983.95 = 433.22 : x
  2. Step 2: Convert to fraction form
    713.00/983.95 = 433.22/x
  3. Step 3: Cross multiply
    713.00x = 983.95 × 433.22
  4. Step 4: Simplify right side
    713.00x = 426,260.82
  5. Step 5: Solve for x
    x = 426,260.82/713.00
  6. Step 6: Final answer
    x = 597.84

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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.