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Finding the Fourth Proportional to 712.84, 983.79 and 433.17

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Solution

The fourth proportional to 712.84, 983.79 and 433.17 is: 597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.84 : 983.79 = 433.17 : x
  2. Step 2: Convert to fraction form
    712.84/983.79 = 433.17/x
  3. Step 3: Cross multiply
    712.84x = 983.79 × 433.17
  4. Step 4: Simplify right side
    712.84x = 426,148.31
  5. Step 5: Solve for x
    x = 426,148.31/712.84
  6. Step 6: Final answer
    x = 597.82

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1.5x scale

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.