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Finding the Fourth Proportional to 924.41, 1,385.79 and 347.69

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Solution

The fourth proportional to 924.41, 1,385.79 and 347.69 is: 521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.41 : 1,385.79 = 347.69 : x
  2. Step 2: Convert to fraction form
    924.41/1,385.79 = 347.69/x
  3. Step 3: Cross multiply
    924.41x = 1,385.79 × 347.69
  4. Step 4: Simplify right side
    924.41x = 481,818.40
  5. Step 5: Solve for x
    x = 481,818.40/924.41
  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.