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Finding the Fourth Proportional to 712.60, 983.44 and 432.95

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Solution

The fourth proportional to 712.60, 983.44 and 432.95 is: 597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 983.44 = 432.95 : x
  2. Step 2: Convert to fraction form
    712.60/983.44 = 432.95/x
  3. Step 3: Cross multiply
    712.60x = 983.44 × 432.95
  4. Step 4: Simplify right side
    712.60x = 425,775.97
  5. Step 5: Solve for x
    x = 425,775.97/712.60
  6. Step 6: Final answer
    x = 597.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.