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Finding the Fourth Proportional to 712.44, 983.23 and 432.74

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Solution

The fourth proportional to 712.44, 983.23 and 432.74 is: 597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 983.23 = 432.74 : x
  2. Step 2: Convert to fraction form
    712.44/983.23 = 432.74/x
  3. Step 3: Cross multiply
    712.44x = 983.23 × 432.74
  4. Step 4: Simplify right side
    712.44x = 425,482.95
  5. Step 5: Solve for x
    x = 425,482.95/712.44
  6. Step 6: Final answer
    x = 597.22

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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.