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Finding the Fourth Proportional to 674.94, 931.37 and 412.95

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Solution

The fourth proportional to 674.94, 931.37 and 412.95 is: 569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.94 : 931.37 = 412.95 : x
  2. Step 2: Convert to fraction form
    674.94/931.37 = 412.95/x
  3. Step 3: Cross multiply
    674.94x = 931.37 × 412.95
  4. Step 4: Simplify right side
    674.94x = 384,607.18
  5. Step 5: Solve for x
    x = 384,607.18/674.94
  6. Step 6: Final answer
    x = 569.84

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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.