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Finding the Fourth Proportional to 712.34, 983.10 and 432.66

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Solution

The fourth proportional to 712.34, 983.10 and 432.66 is: 597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 983.10 = 432.66 : x
  2. Step 2: Convert to fraction form
    712.34/983.10 = 432.66/x
  3. Step 3: Cross multiply
    712.34x = 983.10 × 432.66
  4. Step 4: Simplify right side
    712.34x = 425,348.05
  5. Step 5: Solve for x
    x = 425,348.05/712.34
  6. Step 6: Final answer
    x = 597.11

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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.