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Finding the Fourth Proportional to 1,041.17, 1,562.09 and 347.85

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Solution

The fourth proportional to 1,041.17, 1,562.09 and 347.85 is: 521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.17 : 1,562.09 = 347.85 : x
  2. Step 2: Convert to fraction form
    1,041.17/1,562.09 = 347.85/x
  3. Step 3: Cross multiply
    1,041.17x = 1,562.09 × 347.85
  4. Step 4: Simplify right side
    1,041.17x = 543,371.27
  5. Step 5: Solve for x
    x = 543,371.27/1,041.17
  6. Step 6: Final answer
    x = 521.89

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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.