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Finding the Fourth Proportional to 674.12, 1,009.94 and 345.40

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Solution

The fourth proportional to 674.12, 1,009.94 and 345.40 is: 517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.12 : 1,009.94 = 345.40 : x
  2. Step 2: Convert to fraction form
    674.12/1,009.94 = 345.40/x
  3. Step 3: Cross multiply
    674.12x = 1,009.94 × 345.40
  4. Step 4: Simplify right side
    674.12x = 348,829.02
  5. Step 5: Solve for x
    x = 348,829.02/674.12
  6. Step 6: Final answer
    x = 517.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.