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Finding the Fourth Proportional to 712.56, 983.08 and 432.69

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Solution

The fourth proportional to 712.56, 983.08 and 432.69 is: 596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.56 : 983.08 = 432.69 : x
  2. Step 2: Convert to fraction form
    712.56/983.08 = 432.69/x
  3. Step 3: Cross multiply
    712.56x = 983.08 × 432.69
  4. Step 4: Simplify right side
    712.56x = 425,368.89
  5. Step 5: Solve for x
    x = 425,368.89/712.56
  6. Step 6: Final answer
    x = 596.96

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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.