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Finding the Fourth Proportional to 694.90, 1,041.67 and 347.71

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Solution

The fourth proportional to 694.90, 1,041.67 and 347.71 is: 521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.90 : 1,041.67 = 347.71 : x
  2. Step 2: Convert to fraction form
    694.90/1,041.67 = 347.71/x
  3. Step 3: Cross multiply
    694.90x = 1,041.67 × 347.71
  4. Step 4: Simplify right side
    694.90x = 362,199.08
  5. Step 5: Solve for x
    x = 362,199.08/694.90
  6. Step 6: Final answer
    x = 521.22

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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.