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Finding the Fourth Proportional to 712.15, 983.32 and 641.93

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Solution

The fourth proportional to 712.15, 983.32 and 641.93 is: 886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.15 : 983.32 = 641.93 : x
  2. Step 2: Convert to fraction form
    712.15/983.32 = 641.93/x
  3. Step 3: Cross multiply
    712.15x = 983.32 × 641.93
  4. Step 4: Simplify right side
    712.15x = 631,216.09
  5. Step 5: Solve for x
    x = 631,216.09/712.15
  6. Step 6: Final answer
    x = 886.36

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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.